Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [17,3,Mod(3,17)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(17, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("17.3");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 17 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 17.e (of order \(16\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.463216449413\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Coefficient field: | \(\Q(\zeta_{16})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 5.1 | ||
Root | \(-0.382683 + 0.923880i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 17.5 |
Dual form | 17.3.e.b.7.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/17\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{5}{16}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.08979 | + | 2.63099i | 0.544895 | + | 1.31549i | 0.921233 | + | 0.389011i | \(0.127183\pi\) |
−0.376338 | + | 0.926482i | \(0.622817\pi\) | |||||||
\(3\) | −2.88669 | − | 4.32023i | −0.962229 | − | 1.44008i | −0.896910 | − | 0.442213i | \(-0.854193\pi\) |
−0.0653191 | − | 0.997864i | \(-0.520807\pi\) | |||||||
\(4\) | −2.90602 | + | 2.90602i | −0.726505 | + | 0.726505i | ||||
\(5\) | −0.711297 | + | 3.57593i | −0.142259 | + | 0.715187i | 0.842143 | + | 0.539255i | \(0.181294\pi\) |
−0.984402 | + | 0.175932i | \(0.943706\pi\) | |||||||
\(6\) | 8.22059 | − | 12.3030i | 1.37010 | − | 2.05050i | ||||
\(7\) | −0.644047 | − | 3.23784i | −0.0920066 | − | 0.462549i | −0.999131 | − | 0.0416855i | \(-0.986727\pi\) |
0.907124 | − | 0.420863i | \(-0.138273\pi\) | |||||||
\(8\) | −0.288703 | − | 0.119585i | −0.0360878 | − | 0.0149481i | ||||
\(9\) | −6.88730 | + | 16.6274i | −0.765255 | + | 1.84749i | ||||
\(10\) | −10.1834 | + | 2.02560i | −1.01834 | + | 0.202560i | ||||
\(11\) | 2.02046 | + | 1.35003i | 0.183678 | + | 0.122730i | 0.644010 | − | 0.765017i | \(-0.277270\pi\) |
−0.460332 | + | 0.887747i | \(0.652270\pi\) | |||||||
\(12\) | 20.9434 | + | 4.16591i | 1.74529 | + | 0.347159i | ||||
\(13\) | −7.73173 | − | 7.73173i | −0.594748 | − | 0.594748i | 0.344162 | − | 0.938910i | \(-0.388163\pi\) |
−0.938910 | + | 0.344162i | \(0.888163\pi\) | |||||||
\(14\) | 7.81684 | − | 5.22304i | 0.558346 | − | 0.373075i | ||||
\(15\) | 17.5022 | − | 7.24963i | 1.16681 | − | 0.483309i | ||||
\(16\) | 15.5490i | 0.971815i | ||||||||
\(17\) | 15.0347 | − | 7.93458i | 0.884395 | − | 0.466740i | ||||
\(18\) | −51.2522 | −2.84734 | ||||||||
\(19\) | −3.50319 | − | 8.45745i | −0.184379 | − | 0.445129i | 0.804481 | − | 0.593978i | \(-0.202443\pi\) |
−0.988860 | + | 0.148849i | \(0.952443\pi\) | |||||||
\(20\) | −8.32469 | − | 12.4588i | −0.416234 | − | 0.622939i | ||||
\(21\) | −12.1291 | + | 12.1291i | −0.577574 | + | 0.577574i | ||||
\(22\) | −1.35003 | + | 6.78704i | −0.0613649 | + | 0.308502i | ||||
\(23\) | −1.91942 | + | 2.87262i | −0.0834532 | + | 0.124897i | −0.870848 | − | 0.491553i | \(-0.836429\pi\) |
0.787395 | + | 0.616449i | \(0.211429\pi\) | |||||||
\(24\) | 0.316761 | + | 1.59247i | 0.0131984 | + | 0.0663527i | ||||
\(25\) | 10.8156 | + | 4.47998i | 0.432625 | + | 0.179199i | ||||
\(26\) | 11.9161 | − | 28.7680i | 0.458312 | − | 1.10646i | ||||
\(27\) | 45.8512 | − | 9.12037i | 1.69819 | − | 0.337791i | ||||
\(28\) | 11.2808 | + | 7.53762i | 0.402887 | + | 0.269201i | ||||
\(29\) | −23.5861 | − | 4.69157i | −0.813314 | − | 0.161778i | −0.229126 | − | 0.973397i | \(-0.573587\pi\) |
−0.584188 | + | 0.811618i | \(0.698587\pi\) | |||||||
\(30\) | 38.1474 | + | 38.1474i | 1.27158 | + | 1.27158i | ||||
\(31\) | −23.0300 | + | 15.3882i | −0.742903 | + | 0.496392i | −0.868500 | − | 0.495689i | \(-0.834915\pi\) |
0.125597 | + | 0.992081i | \(0.459915\pi\) | |||||||
\(32\) | −42.0641 | + | 17.4235i | −1.31450 | + | 0.544485i | ||||
\(33\) | − | 12.6260i | − | 0.382605i | ||||||
\(34\) | 37.2604 | + | 30.9091i | 1.09590 | + | 0.909091i | ||||
\(35\) | 12.0364 | 0.343897 | ||||||||
\(36\) | −28.3049 | − | 68.3342i | −0.786248 | − | 1.89817i | ||||
\(37\) | −21.3995 | − | 32.0267i | −0.578366 | − | 0.865586i | 0.420769 | − | 0.907168i | \(-0.361760\pi\) |
−0.999135 | + | 0.0415820i | \(0.986760\pi\) | |||||||
\(38\) | 18.4337 | − | 18.4337i | 0.485097 | − | 0.485097i | ||||
\(39\) | −11.0838 | + | 55.7219i | −0.284200 | + | 1.42877i | ||||
\(40\) | 0.632980 | − | 0.947321i | 0.0158245 | − | 0.0236830i | ||||
\(41\) | 15.0157 | + | 75.4890i | 0.366237 | + | 1.84120i | 0.521407 | + | 0.853308i | \(0.325407\pi\) |
−0.155171 | + | 0.987888i | \(0.549593\pi\) | |||||||
\(42\) | −45.1295 | − | 18.6933i | −1.07451 | − | 0.445078i | ||||
\(43\) | 20.7301 | − | 50.0470i | 0.482096 | − | 1.16388i | −0.476515 | − | 0.879166i | \(-0.658100\pi\) |
0.958612 | − | 0.284717i | \(-0.0918996\pi\) | |||||||
\(44\) | −9.79469 | + | 1.94829i | −0.222607 | + | 0.0442792i | ||||
\(45\) | −54.5596 | − | 36.4555i | −1.21244 | − | 0.810123i | ||||
\(46\) | −9.64960 | − | 1.91942i | −0.209774 | − | 0.0417266i | ||||
\(47\) | −5.13810 | − | 5.13810i | −0.109321 | − | 0.109321i | 0.650330 | − | 0.759652i | \(-0.274631\pi\) |
−0.759652 | + | 0.650330i | \(0.774631\pi\) | |||||||
\(48\) | 67.1754 | − | 44.8852i | 1.39949 | − | 0.935108i | ||||
\(49\) | 35.2013 | − | 14.5808i | 0.718394 | − | 0.297568i | ||||
\(50\) | 33.3380i | 0.666760i | ||||||||
\(51\) | −77.6797 | − | 42.0488i | −1.52313 | − | 0.824486i | ||||
\(52\) | 44.9371 | 0.864175 | ||||||||
\(53\) | 21.8223 | + | 52.6837i | 0.411742 | + | 0.994033i | 0.984670 | + | 0.174427i | \(0.0558074\pi\) |
−0.572928 | + | 0.819606i | \(0.694193\pi\) | |||||||
\(54\) | 73.9637 | + | 110.695i | 1.36970 | + | 2.04990i | ||||
\(55\) | −6.26475 | + | 6.26475i | −0.113905 | + | 0.113905i | ||||
\(56\) | −0.201258 | + | 1.01179i | −0.00359389 | + | 0.0180677i | ||||
\(57\) | −26.4255 | + | 39.5486i | −0.463606 | + | 0.693836i | ||||
\(58\) | −13.3605 | − | 67.1676i | −0.230353 | − | 1.15806i | ||||
\(59\) | −21.2985 | − | 8.82213i | −0.360992 | − | 0.149528i | 0.194813 | − | 0.980840i | \(-0.437590\pi\) |
−0.555805 | + | 0.831313i | \(0.687590\pi\) | |||||||
\(60\) | −29.7940 | + | 71.9292i | −0.496567 | + | 1.19882i | ||||
\(61\) | 40.6888 | − | 8.09351i | 0.667030 | − | 0.132680i | 0.150050 | − | 0.988678i | \(-0.452056\pi\) |
0.516979 | + | 0.855998i | \(0.327056\pi\) | |||||||
\(62\) | −65.5839 | − | 43.8218i | −1.05780 | − | 0.706803i | ||||
\(63\) | 58.2726 | + | 11.5911i | 0.924962 | + | 0.183986i | ||||
\(64\) | −47.7028 | − | 47.7028i | −0.745356 | − | 0.745356i | ||||
\(65\) | 33.1477 | − | 22.1486i | 0.509965 | − | 0.340747i | ||||
\(66\) | 33.2187 | − | 13.7596i | 0.503314 | − | 0.208479i | ||||
\(67\) | 17.3637i | 0.259160i | 0.991569 | + | 0.129580i | \(0.0413630\pi\) | ||||
−0.991569 | + | 0.129580i | \(0.958637\pi\) | |||||||
\(68\) | −20.6331 | + | 66.7492i | −0.303428 | + | 0.981606i | ||||
\(69\) | 17.9512 | 0.260162 | ||||||||
\(70\) | 13.1172 | + | 31.6676i | 0.187388 | + | 0.452395i | ||||
\(71\) | −28.6631 | − | 42.8974i | −0.403706 | − | 0.604188i | 0.572796 | − | 0.819698i | \(-0.305859\pi\) |
−0.976502 | + | 0.215510i | \(0.930859\pi\) | |||||||
\(72\) | 3.97676 | − | 3.97676i | 0.0552328 | − | 0.0552328i | ||||
\(73\) | 12.1277 | − | 60.9700i | 0.166133 | − | 0.835206i | −0.804372 | − | 0.594126i | \(-0.797498\pi\) |
0.970505 | − | 0.241080i | \(-0.0775018\pi\) | |||||||
\(74\) | 60.9407 | − | 91.2042i | 0.823523 | − | 1.23249i | ||||
\(75\) | −11.8668 | − | 59.6583i | −0.158224 | − | 0.795445i | ||||
\(76\) | 34.7579 | + | 14.3972i | 0.457340 | + | 0.189437i | ||||
\(77\) | 3.06990 | − | 7.41140i | 0.0398689 | − | 0.0962520i | ||||
\(78\) | −158.683 | + | 31.5639i | −2.03439 | + | 0.404666i | ||||
\(79\) | 98.5655 | + | 65.8593i | 1.24766 | + | 0.833662i | 0.991133 | − | 0.132874i | \(-0.0424204\pi\) |
0.256531 | + | 0.966536i | \(0.417420\pi\) | |||||||
\(80\) | −55.6023 | − | 11.0600i | −0.695029 | − | 0.138250i | ||||
\(81\) | −57.2255 | − | 57.2255i | −0.706488 | − | 0.706488i | ||||
\(82\) | −182.247 | + | 121.773i | −2.22252 | + | 1.48504i | ||||
\(83\) | −86.9369 | + | 36.0104i | −1.04743 | + | 0.433861i | −0.838975 | − | 0.544171i | \(-0.816844\pi\) |
−0.208458 | + | 0.978031i | \(0.566844\pi\) | |||||||
\(84\) | − | 70.4946i | − | 0.839221i | ||||||
\(85\) | 17.6794 | + | 59.4070i | 0.207993 | + | 0.698905i | ||||
\(86\) | 154.264 | 1.79377 | ||||||||
\(87\) | 47.8171 | + | 115.441i | 0.549621 | + | 1.32690i | ||||
\(88\) | −0.421869 | − | 0.631372i | −0.00479397 | − | 0.00717468i | ||||
\(89\) | 19.6021 | − | 19.6021i | 0.220248 | − | 0.220248i | −0.588355 | − | 0.808603i | \(-0.700224\pi\) |
0.808603 | + | 0.588355i | \(0.200224\pi\) | |||||||
\(90\) | 36.4555 | − | 183.274i | 0.405062 | − | 2.03638i | ||||
\(91\) | −20.0545 | + | 30.0137i | −0.220379 | + | 0.329821i | ||||
\(92\) | −2.77001 | − | 13.9258i | −0.0301088 | − | 0.151367i | ||||
\(93\) | 132.961 | + | 55.0742i | 1.42969 | + | 0.592195i | ||||
\(94\) | 7.91883 | − | 19.1177i | 0.0842428 | − | 0.203380i | ||||
\(95\) | 32.7351 | − | 6.51142i | 0.344580 | − | 0.0685412i | ||||
\(96\) | 196.700 | + | 131.430i | 2.04895 | + | 1.36907i | ||||
\(97\) | 14.9417 | + | 2.97209i | 0.154038 | + | 0.0306401i | 0.271507 | − | 0.962437i | \(-0.412478\pi\) |
−0.117469 | + | 0.993077i | \(0.537478\pi\) | |||||||
\(98\) | 76.7240 | + | 76.7240i | 0.782898 | + | 0.782898i | ||||
\(99\) | −36.3629 | + | 24.2969i | −0.367302 | + | 0.245424i | ||||
\(100\) | −44.4493 | + | 18.4115i | −0.444493 | + | 0.184115i | ||||
\(101\) | − | 132.191i | − | 1.30882i | −0.756140 | − | 0.654410i | \(-0.772917\pi\) | ||
0.756140 | − | 0.654410i | \(-0.227083\pi\) | |||||||
\(102\) | 25.9752 | − | 250.199i | 0.254659 | − | 2.45293i | ||||
\(103\) | −185.135 | −1.79743 | −0.898713 | − | 0.438536i | \(-0.855497\pi\) | ||||
−0.898713 | + | 0.438536i | \(0.855497\pi\) | |||||||
\(104\) | 1.30757 | + | 3.15676i | 0.0125728 | + | 0.0303535i | ||||
\(105\) | −34.7454 | − | 52.0001i | −0.330908 | − | 0.495239i | ||||
\(106\) | −114.828 | + | 114.828i | −1.08329 | + | 1.08329i | ||||
\(107\) | −7.23785 | + | 36.3871i | −0.0676434 | + | 0.340066i | −0.999756 | − | 0.0221030i | \(-0.992964\pi\) |
0.932112 | + | 0.362169i | \(0.117964\pi\) | |||||||
\(108\) | −106.740 | + | 159.748i | −0.988337 | + | 1.47915i | ||||
\(109\) | −8.89084 | − | 44.6973i | −0.0815673 | − | 0.410067i | −0.999898 | − | 0.0142535i | \(-0.995463\pi\) |
0.918331 | − | 0.395813i | \(-0.129537\pi\) | |||||||
\(110\) | −23.3097 | − | 9.65521i | −0.211907 | − | 0.0877747i | ||||
\(111\) | −76.5889 | + | 184.902i | −0.689990 | + | 1.66578i | ||||
\(112\) | 50.3453 | − | 10.0143i | 0.449511 | − | 0.0894134i | ||||
\(113\) | −72.6645 | − | 48.5529i | −0.643049 | − | 0.429671i | 0.190827 | − | 0.981624i | \(-0.438883\pi\) |
−0.833876 | + | 0.551952i | \(0.813883\pi\) | |||||||
\(114\) | −132.850 | − | 26.4255i | −1.16535 | − | 0.231803i | ||||
\(115\) | −8.90702 | − | 8.90702i | −0.0774524 | − | 0.0774524i | ||||
\(116\) | 82.1755 | − | 54.9079i | 0.708409 | − | 0.473344i | ||||
\(117\) | 181.809 | − | 75.3079i | 1.55393 | − | 0.643657i | ||||
\(118\) | − | 65.6503i | − | 0.556359i | ||||||
\(119\) | −35.3739 | − | 43.5698i | −0.297260 | − | 0.366132i | ||||
\(120\) | −5.91986 | −0.0493322 | ||||||||
\(121\) | −44.0450 | − | 106.334i | −0.364008 | − | 0.878794i | ||||
\(122\) | 65.6362 | + | 98.2315i | 0.538001 | + | 0.805176i | ||||
\(123\) | 282.785 | − | 282.785i | 2.29906 | − | 2.29906i | ||||
\(124\) | 22.2074 | − | 111.644i | 0.179092 | − | 0.900354i | ||||
\(125\) | −74.3533 | + | 111.278i | −0.594827 | + | 0.890221i | ||||
\(126\) | 33.0088 | + | 165.946i | 0.261975 | + | 1.31703i | ||||
\(127\) | 102.264 | + | 42.3590i | 0.805226 | + | 0.333535i | 0.747047 | − | 0.664771i | \(-0.231471\pi\) |
0.0581782 | + | 0.998306i | \(0.481471\pi\) | |||||||
\(128\) | 3.82526 | − | 9.23501i | 0.0298849 | − | 0.0721485i | ||||
\(129\) | −276.056 | + | 54.9109i | −2.13997 | + | 0.425666i | ||||
\(130\) | 94.3967 | + | 63.0738i | 0.726128 | + | 0.485183i | ||||
\(131\) | −44.0168 | − | 8.75549i | −0.336006 | − | 0.0668358i | 0.0242037 | − | 0.999707i | \(-0.492295\pi\) |
−0.360210 | + | 0.932871i | \(0.617295\pi\) | |||||||
\(132\) | 36.6913 | + | 36.6913i | 0.277964 | + | 0.277964i | ||||
\(133\) | −25.1277 | + | 16.7898i | −0.188930 | + | 0.126239i | ||||
\(134\) | −45.6838 | + | 18.9228i | −0.340924 | + | 0.141215i | ||||
\(135\) | 170.448i | 1.26258i | ||||||||
\(136\) | −5.28941 | + | 0.492815i | −0.0388927 | + | 0.00362364i | ||||
\(137\) | 61.5009 | 0.448911 | 0.224456 | − | 0.974484i | \(-0.427940\pi\) | ||||
0.224456 | + | 0.974484i | \(0.427940\pi\) | |||||||
\(138\) | 19.5630 | + | 47.2293i | 0.141761 | + | 0.342241i | ||||
\(139\) | 48.5334 | + | 72.6354i | 0.349161 | + | 0.522557i | 0.963932 | − | 0.266149i | \(-0.0857513\pi\) |
−0.614770 | + | 0.788706i | \(0.710751\pi\) | |||||||
\(140\) | −34.9780 | + | 34.9780i | −0.249843 | + | 0.249843i | ||||
\(141\) | −7.36571 | + | 37.0299i | −0.0522391 | + | 0.262623i | ||||
\(142\) | 81.6256 | − | 122.161i | 0.574828 | − | 0.860291i | ||||
\(143\) | −5.18359 | − | 26.0597i | −0.0362489 | − | 0.182235i | ||||
\(144\) | −258.540 | − | 107.091i | −1.79542 | − | 0.743686i | ||||
\(145\) | 33.5535 | − | 81.0053i | 0.231403 | − | 0.558657i | ||||
\(146\) | 173.628 | − | 34.5368i | 1.18923 | − | 0.236553i | ||||
\(147\) | −164.608 | − | 109.987i | −1.11978 | − | 0.748213i | ||||
\(148\) | 155.258 | + | 30.8827i | 1.04904 | + | 0.208667i | ||||
\(149\) | 132.640 | + | 132.640i | 0.890200 | + | 0.890200i | 0.994541 | − | 0.104342i | \(-0.0332736\pi\) |
−0.104342 | + | 0.994541i | \(0.533274\pi\) | |||||||
\(150\) | 144.028 | − | 96.2364i | 0.960187 | − | 0.641576i | ||||
\(151\) | −199.707 | + | 82.7215i | −1.32257 | + | 0.547824i | −0.928525 | − | 0.371269i | \(-0.878923\pi\) |
−0.394040 | + | 0.919093i | \(0.628923\pi\) | |||||||
\(152\) | 2.86062i | 0.0188198i | ||||||||
\(153\) | 28.3829 | + | 304.636i | 0.185509 | + | 1.99108i | ||||
\(154\) | 22.8448 | 0.148343 | ||||||||
\(155\) | −38.6458 | − | 93.2993i | −0.249328 | − | 0.601931i | ||||
\(156\) | −129.719 | − | 194.139i | −0.831534 | − | 1.24448i | ||||
\(157\) | −111.042 | + | 111.042i | −0.707276 | + | 0.707276i | −0.965961 | − | 0.258686i | \(-0.916711\pi\) |
0.258686 | + | 0.965961i | \(0.416711\pi\) | |||||||
\(158\) | −65.8593 | + | 331.097i | −0.416831 | + | 2.09555i | ||||
\(159\) | 164.612 | − | 246.359i | 1.03529 | − | 1.54943i | ||||
\(160\) | −32.3853 | − | 162.812i | −0.202408 | − | 1.01757i | ||||
\(161\) | 10.5373 | + | 4.36469i | 0.0654490 | + | 0.0271099i | ||||
\(162\) | 88.1957 | − | 212.923i | 0.544418 | − | 1.31434i | ||||
\(163\) | 163.655 | − | 32.5530i | 1.00402 | − | 0.199712i | 0.334412 | − | 0.942427i | \(-0.391462\pi\) |
0.669607 | + | 0.742715i | \(0.266462\pi\) | |||||||
\(164\) | −263.008 | − | 175.737i | −1.60371 | − | 1.07156i | ||||
\(165\) | 45.1496 | + | 8.98081i | 0.273634 | + | 0.0544291i | ||||
\(166\) | −189.486 | − | 189.486i | −1.14148 | − | 1.14148i | ||||
\(167\) | −44.7752 | + | 29.9178i | −0.268115 | + | 0.179149i | −0.682359 | − | 0.731017i | \(-0.739046\pi\) |
0.414244 | + | 0.910166i | \(0.364046\pi\) | |||||||
\(168\) | 4.95214 | − | 2.05124i | 0.0294770 | − | 0.0122098i | ||||
\(169\) | − | 49.4408i | − | 0.292549i | ||||||
\(170\) | −137.032 | + | 111.255i | −0.806071 | + | 0.654443i | ||||
\(171\) | 164.753 | 0.963468 | ||||||||
\(172\) | 85.1953 | + | 205.680i | 0.495321 | + | 1.19581i | ||||
\(173\) | 37.3651 | + | 55.9209i | 0.215983 | + | 0.323242i | 0.923602 | − | 0.383352i | \(-0.125231\pi\) |
−0.707619 | + | 0.706594i | \(0.750231\pi\) | |||||||
\(174\) | −251.612 | + | 251.612i | −1.44605 | + | 1.44605i | ||||
\(175\) | 7.53969 | − | 37.9046i | 0.0430840 | − | 0.216598i | ||||
\(176\) | −20.9916 | + | 31.4162i | −0.119271 | + | 0.178501i | ||||
\(177\) | 23.3685 | + | 117.481i | 0.132025 | + | 0.663736i | ||||
\(178\) | 72.9349 | + | 30.2106i | 0.409747 | + | 0.169723i | ||||
\(179\) | 96.0193 | − | 231.811i | 0.536421 | − | 1.29503i | −0.390785 | − | 0.920482i | \(-0.627797\pi\) |
0.927206 | − | 0.374552i | \(-0.122203\pi\) | |||||||
\(180\) | 264.492 | − | 52.6107i | 1.46940 | − | 0.292282i | ||||
\(181\) | −14.2421 | − | 9.51629i | −0.0786859 | − | 0.0525762i | 0.515605 | − | 0.856826i | \(-0.327567\pi\) |
−0.594291 | + | 0.804250i | \(0.702567\pi\) | |||||||
\(182\) | −100.821 | − | 20.0545i | −0.553961 | − | 0.110190i | ||||
\(183\) | −152.422 | − | 152.422i | −0.832905 | − | 0.832905i | ||||
\(184\) | 0.897664 | − | 0.599800i | 0.00487861 | − | 0.00325978i | ||||
\(185\) | 129.747 | − | 53.7428i | 0.701333 | − | 0.290502i | ||||
\(186\) | 409.837i | 2.20343i | ||||||||
\(187\) | 41.0889 | + | 4.26578i | 0.219727 | + | 0.0228117i | ||||
\(188\) | 29.8629 | 0.158845 | ||||||||
\(189\) | −59.0606 | − | 142.585i | −0.312490 | − | 0.754417i | ||||
\(190\) | 52.8058 | + | 79.0295i | 0.277925 | + | 0.415945i | ||||
\(191\) | 79.7646 | − | 79.7646i | 0.417615 | − | 0.417615i | −0.466766 | − | 0.884381i | \(-0.654581\pi\) |
0.884381 | + | 0.466766i | \(0.154581\pi\) | |||||||
\(192\) | −68.3841 | + | 343.790i | −0.356167 | + | 1.79057i | ||||
\(193\) | −11.3804 | + | 17.0319i | −0.0589656 | + | 0.0882482i | −0.859781 | − | 0.510663i | \(-0.829400\pi\) |
0.800815 | + | 0.598911i | \(0.204400\pi\) | |||||||
\(194\) | 8.46379 | + | 42.5503i | 0.0436278 | + | 0.219332i | ||||
\(195\) | −191.374 | − | 79.2697i | −0.981406 | − | 0.406511i | ||||
\(196\) | −59.9234 | + | 144.668i | −0.305732 | + | 0.738101i | ||||
\(197\) | −40.4361 | + | 8.04325i | −0.205260 | + | 0.0408287i | −0.296649 | − | 0.954987i | \(-0.595869\pi\) |
0.0913895 | + | 0.995815i | \(0.470869\pi\) | |||||||
\(198\) | −103.553 | − | 69.1918i | −0.522994 | − | 0.349454i | ||||
\(199\) | 359.028 | + | 71.4150i | 1.80416 | + | 0.358870i | 0.978652 | − | 0.205523i | \(-0.0658895\pi\) |
0.825507 | + | 0.564392i | \(0.190890\pi\) | |||||||
\(200\) | −2.58676 | − | 2.58676i | −0.0129338 | − | 0.0129338i | ||||
\(201\) | 75.0154 | − | 50.1237i | 0.373211 | − | 0.249372i | ||||
\(202\) | 347.792 | − | 144.060i | 1.72174 | − | 0.713170i | ||||
\(203\) | 79.3897i | 0.391082i | ||||||||
\(204\) | 347.933 | − | 103.544i | 1.70556 | − | 0.507569i | ||||
\(205\) | −280.624 | −1.36890 | ||||||||
\(206\) | −201.758 | − | 487.088i | −0.979409 | − | 2.36450i | ||||
\(207\) | −34.5446 | − | 51.6997i | −0.166882 | − | 0.249757i | ||||
\(208\) | 120.221 | − | 120.221i | 0.577985 | − | 0.577985i | ||||
\(209\) | 4.33974 | − | 21.8173i | 0.0207643 | − | 0.104389i | ||||
\(210\) | 98.9464 | − | 148.084i | 0.471173 | − | 0.705161i | ||||
\(211\) | 62.5770 | + | 314.596i | 0.296574 | + | 1.49098i | 0.785615 | + | 0.618716i | \(0.212347\pi\) |
−0.489041 | + | 0.872261i | \(0.662653\pi\) | |||||||
\(212\) | −216.516 | − | 89.6839i | −1.02130 | − | 0.423037i | ||||
\(213\) | −102.585 | + | 247.663i | −0.481621 | + | 1.16274i | ||||
\(214\) | −103.622 | + | 20.6116i | −0.484214 | + | 0.0963161i | ||||
\(215\) | 164.219 | + | 109.728i | 0.763811 | + | 0.510362i | ||||
\(216\) | −14.3280 | − | 2.85002i | −0.0663334 | − | 0.0131945i | ||||
\(217\) | 64.6568 | + | 64.6568i | 0.297958 | + | 0.297958i | ||||
\(218\) | 107.909 | − | 72.1023i | 0.494994 | − | 0.330745i | ||||
\(219\) | −298.414 | + | 123.607i | −1.36262 | + | 0.564415i | ||||
\(220\) | − | 36.4110i | − | 0.165504i | ||||||
\(221\) | −177.592 | − | 54.8963i | −0.803585 | − | 0.248399i | ||||
\(222\) | −569.940 | −2.56730 | ||||||||
\(223\) | −41.5859 | − | 100.397i | −0.186484 | − | 0.450211i | 0.802794 | − | 0.596256i | \(-0.203346\pi\) |
−0.989278 | + | 0.146045i | \(0.953346\pi\) | |||||||
\(224\) | 83.5058 | + | 124.975i | 0.372794 | + | 0.557925i | ||||
\(225\) | −148.981 | + | 148.981i | −0.662137 | + | 0.662137i | ||||
\(226\) | 48.5529 | − | 244.092i | 0.214836 | − | 1.08005i | ||||
\(227\) | −109.633 | + | 164.078i | −0.482966 | + | 0.722810i | −0.990301 | − | 0.138939i | \(-0.955631\pi\) |
0.507335 | + | 0.861749i | \(0.330631\pi\) | |||||||
\(228\) | −38.1359 | − | 191.722i | −0.167263 | − | 0.840887i | ||||
\(229\) | −167.322 | − | 69.3072i | −0.730665 | − | 0.302651i | −0.0138399 | − | 0.999904i | \(-0.504406\pi\) |
−0.716825 | + | 0.697253i | \(0.754406\pi\) | |||||||
\(230\) | 13.7275 | − | 33.1410i | 0.0596847 | − | 0.144091i | ||||
\(231\) | −40.8808 | + | 8.13170i | −0.176973 | + | 0.0352022i | ||||
\(232\) | 6.24833 | + | 4.17500i | 0.0269325 | + | 0.0179957i | ||||
\(233\) | 5.74492 | + | 1.14274i | 0.0246563 | + | 0.00490444i | 0.207403 | − | 0.978256i | \(-0.433499\pi\) |
−0.182747 | + | 0.983160i | \(0.558499\pi\) | |||||||
\(234\) | 396.268 | + | 396.268i | 1.69345 | + | 1.69345i | ||||
\(235\) | 22.0282 | − | 14.7188i | 0.0937372 | − | 0.0626332i | ||||
\(236\) | 87.5311 | − | 36.2566i | 0.370895 | − | 0.153630i | ||||
\(237\) | − | 615.941i | − | 2.59891i | ||||||
\(238\) | 76.0812 | − | 140.550i | 0.319669 | − | 0.590547i | ||||
\(239\) | 68.9414 | 0.288458 | 0.144229 | − | 0.989544i | \(-0.453930\pi\) | ||||
0.144229 | + | 0.989544i | \(0.453930\pi\) | |||||||
\(240\) | 112.725 | + | 272.142i | 0.469686 | + | 1.13392i | ||||
\(241\) | −172.160 | − | 257.655i | −0.714355 | − | 1.06911i | −0.994040 | − | 0.109016i | \(-0.965230\pi\) |
0.279685 | − | 0.960092i | \(-0.409770\pi\) | |||||||
\(242\) | 231.764 | − | 231.764i | 0.957701 | − | 0.957701i | ||||
\(243\) | 0.0479123 | − | 0.240872i | 0.000197170 | − | 0.000991241i | ||||
\(244\) | −94.7226 | + | 141.762i | −0.388207 | + | 0.580993i | ||||
\(245\) | 27.1016 | + | 136.249i | 0.110619 | + | 0.556117i | ||||
\(246\) | 1052.18 | + | 435.826i | 4.27715 | + | 1.77165i | ||||
\(247\) | −38.3050 | + | 92.4764i | −0.155081 | + | 0.374399i | ||||
\(248\) | 8.48901 | − | 1.68857i | 0.0342299 | − | 0.00680874i | ||||
\(249\) | 406.533 | + | 271.637i | 1.63266 | + | 1.09091i | ||||
\(250\) | −373.799 | − | 74.3533i | −1.49520 | − | 0.297413i | ||||
\(251\) | 149.892 | + | 149.892i | 0.597178 | + | 0.597178i | 0.939561 | − | 0.342382i | \(-0.111234\pi\) |
−0.342382 | + | 0.939561i | \(0.611234\pi\) | |||||||
\(252\) | −203.025 | + | 135.657i | −0.805657 | + | 0.538323i | ||||
\(253\) | −7.75623 | + | 3.21274i | −0.0306571 | + | 0.0126986i | ||||
\(254\) | 315.217i | 1.24101i | ||||||||
\(255\) | 205.617 | − | 247.868i | 0.806342 | − | 0.972033i | ||||
\(256\) | −241.382 | −0.942898 | ||||||||
\(257\) | 92.4689 | + | 223.240i | 0.359801 | + | 0.868637i | 0.995327 | + | 0.0965575i | \(0.0307832\pi\) |
−0.635526 | + | 0.772079i | \(0.719217\pi\) | |||||||
\(258\) | −445.313 | − | 666.458i | −1.72602 | − | 2.58317i | ||||
\(259\) | −89.9150 | + | 89.9150i | −0.347162 | + | 0.347162i | ||||
\(260\) | −31.9636 | + | 160.692i | −0.122937 | + | 0.618046i | ||||
\(261\) | 240.453 | − | 359.864i | 0.921277 | − | 1.37879i | ||||
\(262\) | −24.9335 | − | 125.349i | −0.0951661 | − | 0.478432i | ||||
\(263\) | −221.046 | − | 91.5602i | −0.840479 | − | 0.348138i | −0.0794365 | − | 0.996840i | \(-0.525312\pi\) |
−0.761042 | + | 0.648702i | \(0.775312\pi\) | |||||||
\(264\) | −1.50987 | + | 3.64515i | −0.00571920 | + | 0.0138074i | ||||
\(265\) | −203.916 | + | 40.5614i | −0.769493 | + | 0.153062i | ||||
\(266\) | −71.5575 | − | 47.8132i | −0.269013 | − | 0.179749i | ||||
\(267\) | −141.271 | − | 28.1005i | −0.529103 | − | 0.105245i | ||||
\(268\) | −50.4594 | − | 50.4594i | −0.188281 | − | 0.188281i | ||||
\(269\) | 9.41947 | − | 6.29389i | 0.0350166 | − | 0.0233973i | −0.537939 | − | 0.842984i | \(-0.680797\pi\) |
0.572955 | + | 0.819587i | \(0.305797\pi\) | |||||||
\(270\) | −448.446 | + | 185.753i | −1.66091 | + | 0.687973i | ||||
\(271\) | 352.304i | 1.30001i | 0.759929 | + | 0.650007i | \(0.225234\pi\) | ||||
−0.759929 | + | 0.650007i | \(0.774766\pi\) | |||||||
\(272\) | 123.375 | + | 233.775i | 0.453585 | + | 0.859468i | ||||
\(273\) | 187.557 | 0.687023 | ||||||||
\(274\) | 67.0230 | + | 161.808i | 0.244610 | + | 0.590540i | ||||
\(275\) | 15.8044 | + | 23.6530i | 0.0574707 | + | 0.0860109i | ||||
\(276\) | −52.1665 | + | 52.1665i | −0.189009 | + | 0.189009i | ||||
\(277\) | −18.1940 | + | 91.4673i | −0.0656823 | + | 0.330207i | −0.999630 | − | 0.0272028i | \(-0.991340\pi\) |
0.933948 | + | 0.357410i | \(0.116340\pi\) | |||||||
\(278\) | −138.212 | + | 206.848i | −0.497164 | + | 0.744058i | ||||
\(279\) | −97.2506 | − | 488.912i | −0.348569 | − | 1.75237i | ||||
\(280\) | −3.47494 | − | 1.43937i | −0.0124105 | − | 0.00514060i | ||||
\(281\) | 85.1913 | − | 205.670i | 0.303172 | − | 0.731922i | −0.696722 | − | 0.717341i | \(-0.745359\pi\) |
0.999894 | − | 0.0145802i | \(-0.00464119\pi\) | |||||||
\(282\) | −105.452 | + | 20.9758i | −0.373944 | + | 0.0743821i | ||||
\(283\) | 104.017 | + | 69.5017i | 0.367550 | + | 0.245589i | 0.725605 | − | 0.688111i | \(-0.241560\pi\) |
−0.358055 | + | 0.933700i | \(0.616560\pi\) | |||||||
\(284\) | 207.956 | + | 41.3650i | 0.732240 | + | 0.145652i | ||||
\(285\) | −122.627 | − | 122.627i | −0.430270 | − | 0.430270i | ||||
\(286\) | 62.9136 | − | 42.0375i | 0.219978 | − | 0.146984i | ||||
\(287\) | 234.751 | − | 97.2369i | 0.817946 | − | 0.338804i | ||||
\(288\) | − | 819.418i | − | 2.84520i | ||||||
\(289\) | 163.085 | − | 238.588i | 0.564308 | − | 0.825564i | ||||
\(290\) | 249.690 | 0.861000 | ||||||||
\(291\) | −30.2919 | − | 73.1311i | −0.104096 | − | 0.251309i | ||||
\(292\) | 141.937 | + | 212.423i | 0.486085 | + | 0.727477i | ||||
\(293\) | −84.7101 | + | 84.7101i | −0.289113 | + | 0.289113i | −0.836729 | − | 0.547617i | \(-0.815535\pi\) |
0.547617 | + | 0.836729i | \(0.315535\pi\) | |||||||
\(294\) | 109.987 | − | 552.944i | 0.374107 | − | 1.88076i | ||||
\(295\) | 46.6969 | − | 69.8869i | 0.158295 | − | 0.236905i | ||||
\(296\) | 2.34821 | + | 11.8052i | 0.00793313 | + | 0.0398826i | ||||
\(297\) | 104.953 | + | 43.4730i | 0.353378 | + | 0.146374i | ||||
\(298\) | −204.424 | + | 493.523i | −0.685986 | + | 1.65612i | ||||
\(299\) | 37.0508 | − | 7.36986i | 0.123916 | − | 0.0246484i | ||||
\(300\) | 207.853 | + | 138.883i | 0.692845 | + | 0.462944i | ||||
\(301\) | −175.395 | − | 34.8883i | −0.582709 | − | 0.115908i | ||||
\(302\) | −435.278 | − | 435.278i | −1.44132 | − | 1.44132i | ||||
\(303\) | −571.095 | + | 381.594i | −1.88480 | + | 1.25938i | ||||
\(304\) | 131.505 | − | 54.4712i | 0.432583 | − | 0.179182i | ||||
\(305\) | 151.257i | 0.495926i | ||||||||
\(306\) | −770.562 | + | 406.664i | −2.51818 | + | 1.32897i | ||||
\(307\) | 237.264 | 0.772846 | 0.386423 | − | 0.922322i | \(-0.373711\pi\) | ||||
0.386423 | + | 0.922322i | \(0.373711\pi\) | |||||||
\(308\) | 12.6165 | + | 30.4589i | 0.0409626 | + | 0.0988924i | ||||
\(309\) | 534.427 | + | 799.826i | 1.72954 | + | 2.58843i | ||||
\(310\) | 203.353 | − | 203.353i | 0.655979 | − | 0.655979i | ||||
\(311\) | 62.8072 | − | 315.753i | 0.201953 | − | 1.01528i | −0.738213 | − | 0.674567i | \(-0.764330\pi\) |
0.940166 | − | 0.340717i | \(-0.110670\pi\) | |||||||
\(312\) | 9.86340 | − | 14.7616i | 0.0316135 | − | 0.0473129i | ||||
\(313\) | 61.4642 | + | 309.001i | 0.196371 | + | 0.987225i | 0.945703 | + | 0.325031i | \(0.105375\pi\) |
−0.749332 | + | 0.662194i | \(0.769625\pi\) | |||||||
\(314\) | −413.163 | − | 171.138i | −1.31581 | − | 0.545025i | ||||
\(315\) | −82.8983 | + | 200.134i | −0.263169 | + | 0.635347i | ||||
\(316\) | −477.822 | + | 95.0446i | −1.51209 | + | 0.300774i | ||||
\(317\) | −266.949 | − | 178.370i | −0.842111 | − | 0.562681i | 0.0580122 | − | 0.998316i | \(-0.481524\pi\) |
−0.900123 | + | 0.435635i | \(0.856524\pi\) | |||||||
\(318\) | 827.559 | + | 164.612i | 2.60239 | + | 0.517647i | ||||
\(319\) | −41.3210 | − | 41.3210i | −0.129533 | − | 0.129533i | ||||
\(320\) | 204.513 | − | 136.651i | 0.639103 | − | 0.427035i | ||||
\(321\) | 178.094 | − | 73.7690i | 0.554811 | − | 0.229810i | ||||
\(322\) | 32.4801i | 0.100870i | ||||||||
\(323\) | −119.776 | − | 99.3590i | −0.370823 | − | 0.307613i | ||||
\(324\) | 332.597 | 1.02653 | ||||||||
\(325\) | −48.9855 | − | 118.262i | −0.150725 | − | 0.363882i | ||||
\(326\) | 263.996 | + | 395.098i | 0.809805 | + | 1.21196i | ||||
\(327\) | −167.437 | + | 167.437i | −0.512041 | + | 0.512041i | ||||
\(328\) | 4.69225 | − | 23.5895i | 0.0143056 | − | 0.0719193i | ||||
\(329\) | −13.3272 | + | 19.9455i | −0.0405082 | + | 0.0606247i | ||||
\(330\) | 25.5752 | + | 128.575i | 0.0775006 | + | 0.389622i | ||||
\(331\) | 24.6962 | + | 10.2295i | 0.0746109 | + | 0.0309049i | 0.419677 | − | 0.907674i | \(-0.362143\pi\) |
−0.345066 | + | 0.938578i | \(0.612143\pi\) | |||||||
\(332\) | 147.993 | − | 357.287i | 0.445763 | − | 1.07617i | ||||
\(333\) | 679.905 | − | 135.242i | 2.04176 | − | 0.406131i | ||||
\(334\) | −127.509 | − | 85.1987i | −0.381763 | − | 0.255086i | ||||
\(335\) | −62.0916 | − | 12.3508i | −0.185348 | − | 0.0368680i | ||||
\(336\) | −188.595 | − | 188.595i | −0.561295 | − | 0.561295i | ||||
\(337\) | 406.888 | − | 271.874i | 1.20738 | − | 0.806748i | 0.221661 | − | 0.975124i | \(-0.428852\pi\) |
0.985723 | + | 0.168375i | \(0.0538521\pi\) | |||||||
\(338\) | 130.078 | − | 53.8801i | 0.384846 | − | 0.159409i | ||||
\(339\) | 454.084i | 1.33948i | ||||||||
\(340\) | −224.014 | − | 121.261i | −0.658866 | − | 0.356651i | ||||
\(341\) | −67.3056 | −0.197377 | ||||||||
\(342\) | 179.546 | + | 433.463i | 0.524989 | + | 1.26744i | ||||
\(343\) | −159.752 | − | 239.086i | −0.465750 | − | 0.697043i | ||||
\(344\) | −11.9697 | + | 11.9697i | −0.0347956 | + | 0.0347956i | ||||
\(345\) | −12.7686 | + | 64.1922i | −0.0370105 | + | 0.186064i | ||||
\(346\) | −106.407 | + | 159.249i | −0.307534 | + | 0.460258i | ||||
\(347\) | −47.1829 | − | 237.204i | −0.135974 | − | 0.683586i | −0.987289 | − | 0.158932i | \(-0.949195\pi\) |
0.851316 | − | 0.524654i | \(-0.175805\pi\) | |||||||
\(348\) | −474.430 | − | 196.515i | −1.36330 | − | 0.564699i | ||||
\(349\) | −15.1979 | + | 36.6909i | −0.0435470 | + | 0.105132i | −0.944156 | − | 0.329498i | \(-0.893121\pi\) |
0.900609 | + | 0.434629i | \(0.143121\pi\) | |||||||
\(350\) | 107.943 | − | 21.4712i | 0.308409 | − | 0.0613464i | ||||
\(351\) | −425.025 | − | 283.993i | −1.21090 | − | 0.809096i | ||||
\(352\) | −108.511 | − | 21.5842i | −0.308270 | − | 0.0613187i | ||||
\(353\) | −451.955 | − | 451.955i | −1.28033 | − | 1.28033i | −0.940482 | − | 0.339843i | \(-0.889626\pi\) |
−0.339843 | − | 0.940482i | \(-0.610374\pi\) | |||||||
\(354\) | −283.625 | + | 189.512i | −0.801200 | + | 0.535345i | ||||
\(355\) | 173.786 | − | 71.9846i | 0.489538 | − | 0.202773i | ||||
\(356\) | 113.928i | 0.320022i | ||||||||
\(357\) | −86.1179 | + | 278.596i | −0.241227 | + | 0.780381i | ||||
\(358\) | 714.533 | 1.99590 | ||||||||
\(359\) | 78.0349 | + | 188.393i | 0.217367 | + | 0.524771i | 0.994521 | − | 0.104540i | \(-0.0333370\pi\) |
−0.777153 | + | 0.629311i | \(0.783337\pi\) | |||||||
\(360\) | 11.3920 | + | 17.0493i | 0.0316444 | + | 0.0473591i | ||||
\(361\) | 196.009 | − | 196.009i | 0.542962 | − | 0.542962i | ||||
\(362\) | 9.51629 | − | 47.8416i | 0.0262881 | − | 0.132159i | ||||
\(363\) | −332.244 | + | 497.238i | −0.915272 | + | 1.36980i | ||||
\(364\) | −28.9416 | − | 145.499i | −0.0795098 | − | 0.399723i | ||||
\(365\) | 209.398 | + | 86.7357i | 0.573694 | + | 0.237632i | ||||
\(366\) | 234.912 | − | 567.127i | 0.641835 | − | 1.54953i | ||||
\(367\) | −276.557 | + | 55.0107i | −0.753563 | + | 0.149893i | −0.556901 | − | 0.830579i | \(-0.688010\pi\) |
−0.196661 | + | 0.980472i | \(0.563010\pi\) | |||||||
\(368\) | −44.6665 | − | 29.8452i | −0.121376 | − | 0.0811011i | ||||
\(369\) | −1358.60 | − | 270.243i | −3.68185 | − | 0.732366i | ||||
\(370\) | 282.793 | + | 282.793i | 0.764306 | + | 0.764306i | ||||
\(371\) | 156.527 | − | 104.588i | 0.421906 | − | 0.281908i | ||||
\(372\) | −546.433 | + | 226.340i | −1.46891 | + | 0.608441i | ||||
\(373\) | − | 340.976i | − | 0.914144i | −0.889430 | − | 0.457072i | \(-0.848898\pi\) | ||
0.889430 | − | 0.457072i | \(-0.151102\pi\) | |||||||
\(374\) | 33.5551 | + | 112.753i | 0.0897194 | + | 0.301479i | ||||
\(375\) | 695.380 | 1.85435 | ||||||||
\(376\) | 0.868946 | + | 2.09782i | 0.00231103 | + | 0.00557931i | ||||
\(377\) | 146.087 | + | 218.635i | 0.387500 | + | 0.579935i | ||||
\(378\) | 310.775 | − | 310.775i | 0.822156 | − | 0.822156i | ||||
\(379\) | −69.8686 | + | 351.253i | −0.184350 | + | 0.926790i | 0.772235 | + | 0.635337i | \(0.219139\pi\) |
−0.956585 | + | 0.291453i | \(0.905861\pi\) | |||||||
\(380\) | −76.2065 | + | 114.051i | −0.200544 | + | 0.300135i | ||||
\(381\) | −112.202 | − | 564.080i | −0.294495 | − | 1.48052i | ||||
\(382\) | 296.786 | + | 122.933i | 0.776927 | + | 0.321814i | ||||
\(383\) | 92.5645 | − | 223.470i | 0.241683 | − | 0.583474i | −0.755767 | − | 0.654840i | \(-0.772736\pi\) |
0.997450 | + | 0.0713664i | \(0.0227360\pi\) | |||||||
\(384\) | −50.9397 | + | 10.1325i | −0.132656 | + | 0.0263868i | ||||
\(385\) | 24.3191 | + | 16.2495i | 0.0631664 | + | 0.0422064i | ||||
\(386\) | −57.2129 | − | 11.3804i | −0.148220 | − | 0.0294828i | ||||
\(387\) | 689.377 | + | 689.377i | 1.78134 | + | 1.78134i | ||||
\(388\) | −52.0578 | + | 34.7839i | −0.134170 | + | 0.0896492i | ||||
\(389\) | −619.174 | + | 256.470i | −1.59171 | + | 0.659307i | −0.990212 | − | 0.139570i | \(-0.955428\pi\) |
−0.601495 | + | 0.798877i | \(0.705428\pi\) | |||||||
\(390\) | − | 589.890i | − | 1.51254i | ||||||
\(391\) | −6.06495 | + | 58.4189i | −0.0155114 | + | 0.149409i | ||||
\(392\) | −11.9063 | −0.0303733 | ||||||||
\(393\) | 89.2370 | + | 215.437i | 0.227066 | + | 0.548186i | ||||
\(394\) | −65.2286 | − | 97.6215i | −0.165555 | − | 0.247770i | ||||
\(395\) | −305.618 | + | 305.618i | −0.773716 | + | 0.773716i | ||||
\(396\) | 35.0640 | − | 176.279i | 0.0885455 | − | 0.445148i | ||||
\(397\) | 248.868 | − | 372.457i | 0.626871 | − | 0.938179i | −0.373075 | − | 0.927801i | \(-0.621697\pi\) |
0.999946 | − | 0.0103776i | \(-0.00330334\pi\) | |||||||
\(398\) | 203.373 | + | 1022.42i | 0.510987 | + | 2.56890i | ||||
\(399\) | 145.071 | + | 60.0906i | 0.363588 | + | 0.150603i | ||||
\(400\) | −69.6594 | + | 168.173i | −0.174148 | + | 0.420431i | ||||
\(401\) | 136.334 | − | 27.1185i | 0.339985 | − | 0.0676272i | −0.0221452 | − | 0.999755i | \(-0.507050\pi\) |
0.362130 | + | 0.932128i | \(0.382050\pi\) | |||||||
\(402\) | 213.626 | + | 142.740i | 0.531407 | + | 0.355075i | ||||
\(403\) | 297.039 | + | 59.0847i | 0.737069 | + | 0.146612i | ||||
\(404\) | 384.149 | + | 384.149i | 0.950864 | + | 0.950864i | ||||
\(405\) | 245.339 | − | 163.930i | 0.605775 | − | 0.404766i | ||||
\(406\) | −208.873 | + | 86.5181i | −0.514466 | + | 0.213099i | ||||
\(407\) | − | 93.5985i | − | 0.229972i | ||||||
\(408\) | 17.3980 | + | 21.4289i | 0.0426420 | + | 0.0525218i | ||||
\(409\) | −404.559 | −0.989142 | −0.494571 | − | 0.869137i | \(-0.664675\pi\) | ||||
−0.494571 | + | 0.869137i | \(0.664675\pi\) | |||||||
\(410\) | −305.822 | − | 738.319i | −0.745907 | − | 1.80078i | ||||
\(411\) | −177.534 | − | 265.698i | −0.431956 | − | 0.646467i | ||||
\(412\) | 538.006 | − | 538.006i | 1.30584 | − | 1.30584i | ||||
\(413\) | −14.8474 | + | 74.6430i | −0.0359502 | + | 0.180734i | ||||
\(414\) | 98.3747 | − | 147.228i | 0.237620 | − | 0.355624i | ||||
\(415\) | −66.9330 | − | 336.495i | −0.161284 | − | 0.810831i | ||||
\(416\) | 459.942 | + | 190.514i | 1.10563 | + | 0.457967i | ||||
\(417\) | 173.701 | − | 419.352i | 0.416549 | − | 1.00564i | ||||
\(418\) | 62.1305 | − | 12.3585i | 0.148638 | − | 0.0295659i | ||||
\(419\) | −217.250 | − | 145.162i | −0.518496 | − | 0.346448i | 0.268627 | − | 0.963244i | \(-0.413430\pi\) |
−0.787123 | + | 0.616796i | \(0.788430\pi\) | |||||||
\(420\) | 252.084 | + | 50.1426i | 0.600200 | + | 0.119387i | ||||
\(421\) | 429.955 | + | 429.955i | 1.02127 | + | 1.02127i | 0.999769 | + | 0.0215010i | \(0.00684449\pi\) |
0.0215010 | + | 0.999769i | \(0.493156\pi\) | |||||||
\(422\) | −759.502 | + | 507.483i | −1.79977 | + | 1.20257i | ||||
\(423\) | 120.821 | − | 50.0457i | 0.285629 | − | 0.118311i | ||||
\(424\) | − | 17.8195i | − | 0.0420272i | ||||||
\(425\) | 198.157 | − | 18.4623i | 0.466251 | − | 0.0434406i | ||||
\(426\) | −763.393 | −1.79200 | ||||||||
\(427\) | −52.4110 | − | 126.531i | −0.122742 | − | 0.296326i | ||||
\(428\) | −84.7083 | − | 126.775i | −0.197917 | − | 0.296203i | ||||
\(429\) | −97.6204 | + | 97.6204i | −0.227553 | + | 0.227553i | ||||
\(430\) | −109.728 | + | 551.639i | −0.255181 | + | 1.28288i | ||||
\(431\) | −355.752 | + | 532.421i | −0.825412 | + | 1.23532i | 0.143927 | + | 0.989588i | \(0.454027\pi\) |
−0.969339 | + | 0.245728i | \(0.920973\pi\) | |||||||
\(432\) | 141.813 | + | 712.941i | 0.328271 | + | 1.65033i | ||||
\(433\) | −590.594 | − | 244.632i | −1.36396 | − | 0.564971i | −0.423816 | − | 0.905748i | \(-0.639310\pi\) |
−0.940144 | + | 0.340778i | \(0.889310\pi\) | |||||||
\(434\) | −99.6488 | + | 240.573i | −0.229605 | + | 0.554317i | ||||
\(435\) | −446.820 | + | 88.8780i | −1.02717 | + | 0.204317i | ||||
\(436\) | 155.728 | + | 104.054i | 0.357174 | + | 0.238656i | ||||
\(437\) | 31.0192 | + | 6.17010i | 0.0709821 | + | 0.0141192i | ||||
\(438\) | −650.416 | − | 650.416i | −1.48497 | − | 1.48497i | ||||
\(439\) | 586.307 | − | 391.758i | 1.33555 | − | 0.892386i | 0.336761 | − | 0.941590i | \(-0.390668\pi\) |
0.998789 | + | 0.0492039i | \(0.0156684\pi\) | |||||||
\(440\) | 2.55782 | − | 1.05948i | 0.00581322 | − | 0.00240792i | ||||
\(441\) | 685.729i | 1.55494i | ||||||||
\(442\) | −49.1069 | − | 527.068i | −0.111102 | − | 1.19246i | ||||
\(443\) | −317.185 | −0.715994 | −0.357997 | − | 0.933723i | \(-0.616540\pi\) | ||||
−0.357997 | + | 0.933723i | \(0.616540\pi\) | |||||||
\(444\) | −314.760 | − | 759.898i | −0.708919 | − | 1.71148i | ||||
\(445\) | 56.1528 | + | 84.0386i | 0.126186 | + | 0.188851i | ||||
\(446\) | 218.824 | − | 218.824i | 0.490636 | − | 0.490636i | ||||
\(447\) | 190.145 | − | 955.924i | 0.425381 | − | 2.13853i | ||||
\(448\) | −123.731 | + | 185.177i | −0.276186 | + | 0.413341i | ||||
\(449\) | −47.9801 | − | 241.212i | −0.106860 | − | 0.537222i | −0.996716 | − | 0.0809796i | \(-0.974195\pi\) |
0.889856 | − | 0.456242i | \(-0.150805\pi\) | |||||||
\(450\) | −554.325 | − | 229.609i | −1.23183 | − | 0.510242i | ||||
\(451\) | −71.5736 | + | 172.794i | −0.158700 | + | 0.383135i | ||||
\(452\) | 352.260 | − | 70.0689i | 0.779336 | − | 0.155020i | ||||
\(453\) | 933.869 | + | 623.991i | 2.06152 | + | 1.37746i | ||||
\(454\) | −551.164 | − | 109.633i | −1.21402 | − | 0.241483i | ||||
\(455\) | −93.0622 | − | 93.0622i | −0.204532 | − | 0.204532i | ||||
\(456\) | 12.3585 | − | 8.25770i | 0.0271020 | − | 0.0181090i | ||||
\(457\) | 343.798 | − | 142.406i | 0.752293 | − | 0.311610i | 0.0266163 | − | 0.999646i | \(-0.491527\pi\) |
0.725677 | + | 0.688036i | \(0.241527\pi\) | |||||||
\(458\) | − | 515.753i | − | 1.12610i | ||||||
\(459\) | 616.993 | − | 500.932i | 1.34421 | − | 1.09135i | ||||
\(460\) | 51.7680 | 0.112539 | ||||||||
\(461\) | 329.689 | + | 795.940i | 0.715161 | + | 1.72655i | 0.686683 | + | 0.726957i | \(0.259066\pi\) |
0.0284783 | + | 0.999594i | \(0.490934\pi\) | |||||||
\(462\) | −65.9459 | − | 98.6951i | −0.142740 | − | 0.213626i | ||||
\(463\) | −386.172 | + | 386.172i | −0.834065 | + | 0.834065i | −0.988070 | − | 0.154005i | \(-0.950783\pi\) |
0.154005 | + | 0.988070i | \(0.450783\pi\) | |||||||
\(464\) | 72.9494 | − | 366.741i | 0.157218 | − | 0.790391i | ||||
\(465\) | −291.516 | + | 436.285i | −0.626917 | + | 0.938247i | ||||
\(466\) | 3.25423 | + | 16.3601i | 0.00698333 | + | 0.0351076i | ||||
\(467\) | 374.194 | + | 154.996i | 0.801272 | + | 0.331898i | 0.745466 | − | 0.666544i | \(-0.232227\pi\) |
0.0558061 | + | 0.998442i | \(0.482227\pi\) | |||||||
\(468\) | −309.495 | + | 747.187i | −0.661314 | + | 1.59655i | ||||
\(469\) | 56.2210 | − | 11.1831i | 0.119874 | − | 0.0238445i | ||||
\(470\) | 62.7311 | + | 41.9156i | 0.133470 | + | 0.0891821i | ||||
\(471\) | 800.273 | + | 159.184i | 1.69909 | + | 0.337971i | ||||
\(472\) | 5.09394 | + | 5.09394i | 0.0107922 | + | 0.0107922i | ||||
\(473\) | 109.449 | − | 73.1316i | 0.231394 | − | 0.154612i | ||||
\(474\) | 1620.53 | − | 671.246i | 3.41884 | − | 1.41613i | ||||
\(475\) | − | 107.167i | − | 0.225615i | ||||||
\(476\) | 229.412 | + | 23.8172i | 0.481958 | + | 0.0500361i | ||||
\(477\) | −1026.29 | −2.15155 | ||||||||
\(478\) | 75.1317 | + | 181.384i | 0.157179 | + | 0.379464i | ||||
\(479\) | 66.8122 | + | 99.9916i | 0.139483 | + | 0.208751i | 0.894634 | − | 0.446800i | \(-0.147436\pi\) |
−0.755151 | + | 0.655551i | \(0.772436\pi\) | |||||||
\(480\) | −609.898 | + | 609.898i | −1.27062 | + | 1.27062i | ||||
\(481\) | −82.1661 | + | 413.077i | −0.170823 | + | 0.858788i | ||||
\(482\) | 490.269 | − | 733.739i | 1.01716 | − | 1.52228i | ||||
\(483\) | −11.5614 | − | 58.1230i | −0.0239366 | − | 0.120338i | ||||
\(484\) | 437.005 | + | 181.013i | 0.902902 | + | 0.373994i | ||||
\(485\) | −21.2560 | + | 51.3164i | −0.0438267 | + | 0.105807i | ||||
\(486\) | 0.685944 | − | 0.136443i | 0.00141141 | − | 0.000280747i | ||||
\(487\) | −673.901 | − | 450.287i | −1.38378 | − | 0.924613i | −0.999999 | − | 0.00118928i | \(-0.999621\pi\) |
−0.383782 | − | 0.923424i | \(-0.625379\pi\) | |||||||
\(488\) | −12.7148 | − | 2.52914i | −0.0260550 | − | 0.00518265i | ||||
\(489\) | −613.058 | − | 613.058i | −1.25370 | − | 1.25370i | ||||
\(490\) | −328.934 | + | 219.786i | −0.671293 | + | 0.448544i | ||||
\(491\) | −139.166 | + | 57.6444i | −0.283433 | + | 0.117402i | −0.519871 | − | 0.854245i | \(-0.674020\pi\) |
0.236438 | + | 0.971647i | \(0.424020\pi\) | |||||||
\(492\) | 1643.55i | 3.34056i | ||||||||
\(493\) | −391.836 | + | 116.609i | −0.794799 | + | 0.236530i | ||||
\(494\) | −285.049 | −0.577022 | ||||||||
\(495\) | −61.0194 | − | 147.314i | −0.123271 | − | 0.297604i | ||||
\(496\) | −239.271 | − | 358.094i | −0.482401 | − | 0.721964i | ||||
\(497\) | −120.434 | + | 120.434i | −0.242323 | + | 0.242323i | ||||
\(498\) | −271.637 | + | 1365.61i | −0.545455 | + | 2.74219i | ||||
\(499\) | 457.780 | − | 685.116i | 0.917394 | − | 1.37298i | −0.0104246 | − | 0.999946i | \(-0.503318\pi\) |
0.927819 | − | 0.373032i | \(-0.121682\pi\) | |||||||
\(500\) | −107.303 | − | 539.447i | −0.214605 | − | 1.07889i | ||||
\(501\) | 258.504 | + | 107.076i | 0.515976 | + | 0.213724i | ||||
\(502\) | −231.013 | + | 557.714i | −0.460185 | + | 1.11098i | ||||
\(503\) | 663.866 | − | 132.051i | 1.31981 | − | 0.262527i | 0.515580 | − | 0.856841i | \(-0.327576\pi\) |
0.804233 | + | 0.594314i | \(0.202576\pi\) | |||||||
\(504\) | −15.4373 | − | 10.3149i | −0.0306296 | − | 0.0204661i | ||||
\(505\) | 472.706 | + | 94.0270i | 0.936051 | + | 0.186192i | ||||
\(506\) | −16.9053 | − | 16.9053i | −0.0334098 | − | 0.0334098i | ||||
\(507\) | −213.596 | + | 142.720i | −0.421293 | + | 0.281499i | ||||
\(508\) | −420.276 | + | 174.084i | −0.827315 | + | 0.342685i | ||||
\(509\) | − | 340.603i | − | 0.669161i | −0.942367 | − | 0.334581i | \(-0.891405\pi\) | ||
0.942367 | − | 0.334581i | \(-0.108595\pi\) | |||||||
\(510\) | 876.218 | + | 270.851i | 1.71807 | + | 0.531081i | ||||
\(511\) | −205.222 | −0.401609 | ||||||||
\(512\) | −278.357 | − | 672.012i | −0.543665 | − | 1.31252i | ||||
\(513\) | −237.761 | − | 355.834i | −0.463471 | − | 0.693633i | ||||
\(514\) | −486.569 | + | 486.569i | −0.946632 | + | 0.946632i | ||||
\(515\) | 131.686 | − | 662.030i | 0.255701 | − | 1.28550i | ||||
\(516\) | 642.652 | − | 961.796i | 1.24545 | − | 1.86395i | ||||
\(517\) | −3.44475 | − | 17.3179i | −0.00666295 | − | 0.0334969i | ||||
\(518\) | −334.553 | − | 138.577i | −0.645856 | − | 0.267522i | ||||
\(519\) | 133.730 | − | 322.852i | 0.257668 | − | 0.622066i | ||||
\(520\) | −12.2185 | + | 2.43040i | −0.0234970 | + | 0.00467385i | ||||
\(521\) | 374.731 | + | 250.387i | 0.719253 | + | 0.480590i | 0.860542 | − | 0.509379i | \(-0.170125\pi\) |
−0.141289 | + | 0.989968i | \(0.545125\pi\) | |||||||
\(522\) | 1208.84 | + | 240.453i | 2.31579 | + | 0.460638i | ||||
\(523\) | 425.914 | + | 425.914i | 0.814367 | + | 0.814367i | 0.985285 | − | 0.170918i | \(-0.0546734\pi\) |
−0.170918 | + | 0.985285i | \(0.554673\pi\) | |||||||
\(524\) | 153.357 | − | 102.470i | 0.292667 | − | 0.195554i | ||||
\(525\) | −185.521 | + | 76.8455i | −0.353374 | + | 0.146372i | ||||
\(526\) | − | 681.350i | − | 1.29534i | ||||||
\(527\) | −224.151 | + | 414.090i | −0.425334 | + | 0.785749i | ||||
\(528\) | 196.321 | 0.371821 | ||||||||
\(529\) | 197.872 | + | 477.705i | 0.374049 | + | 0.903033i | ||||
\(530\) | −328.942 | − | 492.296i | −0.620645 | − | 0.928861i | ||||
\(531\) | 293.378 | − | 293.378i | 0.552501 | − | 0.552501i | ||||
\(532\) | 24.2301 | − | 121.813i | 0.0455453 | − | 0.228972i | ||||
\(533\) | 467.563 | − | 699.758i | 0.877229 | − | 1.31287i | ||||
\(534\) | −80.0234 | − | 402.305i | −0.149856 | − | 0.753379i | ||||
\(535\) | −124.970 | − | 51.7641i | −0.233588 | − | 0.0967554i | ||||
\(536\) | 2.07643 | − | 5.01296i | 0.00387395 | − | 0.00935253i | ||||
\(537\) | −1278.66 | + | 254.340i | −2.38111 | + | 0.473632i | ||||
\(538\) | 26.8244 | + | 17.9235i | 0.0498594 | + | 0.0333150i | ||||
\(539\) | 90.8073 | + | 18.0627i | 0.168474 | + | 0.0335115i | ||||
\(540\) | −495.325 | − | 495.325i | −0.917269 | − | 0.917269i | ||||
\(541\) | −406.212 | + | 271.422i | −0.750855 | + | 0.501705i | −0.871140 | − | 0.491034i | \(-0.836619\pi\) |
0.120286 | + | 0.992739i | \(0.461619\pi\) | |||||||
\(542\) | −926.906 | + | 383.937i | −1.71016 | + | 0.708371i | ||||
\(543\) | 88.9999i | 0.163904i | ||||||||
\(544\) | −494.173 | + | 595.718i | −0.908407 | + | 1.09507i | ||||
\(545\) | 166.158 | 0.304878 | ||||||||
\(546\) | 204.398 | + | 493.460i | 0.374355 | + | 0.903774i | ||||
\(547\) | −209.264 | − | 313.185i | −0.382566 | − | 0.572551i | 0.589350 | − | 0.807878i | \(-0.299384\pi\) |
−0.971916 | + | 0.235327i | \(0.924384\pi\) | |||||||
\(548\) | −178.723 | + | 178.723i | −0.326136 | + | 0.326136i | ||||
\(549\) | −145.662 | + | 732.292i | −0.265322 | + | 1.33386i | ||||
\(550\) | −45.0072 | + | 67.3581i | −0.0818313 | + | 0.122469i | ||||
\(551\) | 42.9480 | + | 215.914i | 0.0779455 | + | 0.391858i | ||||
\(552\) | −5.18255 | − | 2.14668i | −0.00938868 | − | 0.00388892i | ||||
\(553\) | 149.761 | − | 361.556i | 0.270816 | − | 0.653808i | ||||
\(554\) | −260.477 | + | 51.8121i | −0.470175 | + | 0.0935236i | ||||
\(555\) | −606.720 | − | 405.397i | −1.09319 | − | 0.730445i | ||||
\(556\) | −352.119 | − | 70.0408i | −0.633308 | − | 0.125973i | ||||
\(557\) | 58.1418 | + | 58.1418i | 0.104384 | + | 0.104384i | 0.757370 | − | 0.652986i | \(-0.226484\pi\) |
−0.652986 | + | 0.757370i | \(0.726484\pi\) | |||||||
\(558\) | 1180.34 | − | 788.677i | 2.11530 | − | 1.41340i | ||||
\(559\) | −547.229 | + | 226.670i | −0.978943 | + | 0.405492i | ||||
\(560\) | 187.155i | 0.334205i | ||||||||
\(561\) | −100.182 | − | 189.828i | −0.178577 | − | 0.338374i | ||||
\(562\) | 633.956 | 1.12803 | ||||||||
\(563\) | 93.7832 | + | 226.413i | 0.166578 | + | 0.402154i | 0.985021 | − | 0.172433i | \(-0.0551628\pi\) |
−0.818444 | + | 0.574587i | \(0.805163\pi\) | |||||||
\(564\) | −86.2047 | − | 129.015i | −0.152845 | − | 0.228749i | ||||
\(565\) | 225.308 | − | 225.308i | 0.398775 | − | 0.398775i | ||||
\(566\) | −69.5017 | + | 349.409i | −0.122794 | + | 0.617330i | ||||
\(567\) | −148.431 | + | 222.143i | −0.261783 | + | 0.391787i | ||||
\(568\) | 3.14525 | + | 15.8122i | 0.00553741 | + | 0.0278385i | ||||
\(569\) | −35.1685 | − | 14.5673i | −0.0618076 | − | 0.0256015i | 0.351565 | − | 0.936163i | \(-0.385649\pi\) |
−0.413373 | + | 0.910562i | \(0.635649\pi\) | |||||||
\(570\) | 188.992 | − | 456.267i | 0.331565 | − | 0.800469i | ||||
\(571\) | −55.6344 | + | 11.0664i | −0.0974332 | + | 0.0193807i | −0.243566 | − | 0.969884i | \(-0.578317\pi\) |
0.146133 | + | 0.989265i | \(0.453317\pi\) | |||||||
\(572\) | 90.7935 | + | 60.6663i | 0.158730 | + | 0.106060i | ||||
\(573\) | −574.857 | − | 114.346i | −1.00324 | − | 0.199557i | ||||
\(574\) | 511.658 | + | 511.658i | 0.891390 | + | 0.891390i | ||||
\(575\) | −33.6291 | + | 22.4702i | −0.0584854 | + | 0.0390787i | ||||
\(576\) | 1121.72 | − | 464.630i | 1.94743 | − | 0.806650i | ||||
\(577\) | 711.158i | 1.23251i | 0.787547 | + | 0.616255i | \(0.211351\pi\) | ||||
−0.787547 | + | 0.616255i | \(0.788649\pi\) | |||||||
\(578\) | 805.451 | + | 169.063i | 1.39351 | + | 0.292497i | ||||
\(579\) | 106.433 | 0.183823 | ||||||||
\(580\) | 137.896 | + | 332.910i | 0.237751 | + | 0.573983i | ||||
\(581\) | 172.587 | + | 258.295i | 0.297052 | + | 0.444570i | ||||
\(582\) | 159.395 | − | 159.395i | 0.273875 | − | 0.273875i | ||||
\(583\) | −27.0334 | + | 135.906i | −0.0463694 | + | 0.233115i | ||||
\(584\) | −10.7924 | + | 16.1519i | −0.0184801 | + | 0.0276574i | ||||
\(585\) | 139.975 | + | 703.704i | 0.239274 | + | 1.20291i | ||||
\(586\) | −315.187 | − | 130.555i | −0.537862 | − | 0.222790i | ||||
\(587\) | −358.692 | + | 865.959i | −0.611060 | + | 1.47523i | 0.250778 | + | 0.968045i | \(0.419314\pi\) |
−0.861838 | + | 0.507184i | \(0.830686\pi\) | |||||||
\(588\) | 797.979 | − | 158.728i | 1.35711 | − | 0.269945i | ||||
\(589\) | 210.823 | + | 140.868i | 0.357934 | + | 0.239164i | ||||
\(590\) | 234.761 | + | 46.6969i | 0.397900 | + | 0.0791473i | ||||
\(591\) | 151.475 | + | 151.475i | 0.256303 | + | 0.256303i | ||||
\(592\) | 497.984 | − | 332.742i | 0.841189 | − | 0.562064i | ||||
\(593\) | 858.785 | − | 355.720i | 1.44820 | − | 0.599865i | 0.486432 | − | 0.873719i | \(-0.338298\pi\) |
0.961772 | + | 0.273853i | \(0.0882982\pi\) | |||||||
\(594\) | 323.507i | 0.544624i | ||||||||
\(595\) | 180.964 | − | 95.5038i | 0.304141 | − | 0.160511i | ||||
\(596\) | −770.907 | −1.29347 | ||||||||
\(597\) | −727.871 | − | 1757.24i | −1.21921 | − | 2.94344i | ||||
\(598\) | 59.7676 | + | 89.4485i | 0.0999458 | + | 0.149579i | ||||
\(599\) | −278.647 | + | 278.647i | −0.465187 | + | 0.465187i | −0.900351 | − | 0.435164i | \(-0.856690\pi\) |
0.435164 | + | 0.900351i | \(0.356690\pi\) | |||||||
\(600\) | −3.70824 | + | 18.6426i | −0.00618041 | + | 0.0310710i | ||||
\(601\) | 280.477 | − | 419.764i | 0.466684 | − | 0.698442i | −0.521235 | − | 0.853413i | \(-0.674528\pi\) |
0.987919 | + | 0.154971i | \(0.0495284\pi\) | |||||||
\(602\) | −99.3534 | − | 499.484i | −0.165039 | − | 0.829707i | ||||
\(603\) | −288.714 | − | 119.589i | −0.478796 | − | 0.198324i | ||||
\(604\) | 339.963 | − | 820.744i | 0.562853 | − | 1.35885i | ||||
\(605\) | 411.573 | − | 81.8669i | 0.680285 | − | 0.135317i | ||||
\(606\) | −1626.34 | − | 1086.69i | −2.68373 | − | 1.79321i | ||||
\(607\) | −302.742 | − | 60.2190i | −0.498750 | − | 0.0992076i | −0.0606964 | − | 0.998156i | \(-0.519332\pi\) |
−0.438054 | + | 0.898949i | \(0.644332\pi\) | |||||||
\(608\) | 294.717 | + | 294.717i | 0.484732 | + | 0.484732i | ||||
\(609\) | 342.982 | − | 229.173i | 0.563189 | − | 0.376311i | ||||
\(610\) | −397.956 | + | 164.839i | −0.652387 | + | 0.270228i | ||||
\(611\) | 79.4528i | 0.130037i | ||||||||
\(612\) | −967.759 | − | 802.797i | −1.58131 | − | 1.31176i | ||||
\(613\) | 116.450 | 0.189967 | 0.0949835 | − | 0.995479i | \(-0.469720\pi\) | ||||
0.0949835 | + | 0.995479i | \(0.469720\pi\) | |||||||
\(614\) | 258.568 | + | 624.237i | 0.421120 | + | 1.01667i | ||||
\(615\) | 810.075 | + | 1212.36i | 1.31719 | + | 1.97132i | ||||
\(616\) | −1.77258 | + | 1.77258i | −0.00287756 | + | 0.00287756i | ||||
\(617\) | −124.062 | + | 623.701i | −0.201073 | + | 1.01086i | 0.739987 | + | 0.672621i | \(0.234831\pi\) |
−0.941060 | + | 0.338239i | \(0.890169\pi\) | |||||||
\(618\) | −1521.92 | + | 2277.71i | −2.46265 | + | 3.68562i | ||||
\(619\) | 114.897 | + | 577.626i | 0.185617 | + | 0.933160i | 0.955504 | + | 0.294980i | \(0.0953128\pi\) |
−0.769886 | + | 0.638181i | \(0.779687\pi\) | |||||||
\(620\) | 383.435 | + | 158.824i | 0.618444 | + | 0.256168i | ||||
\(621\) | −61.8085 | + | 149.219i | −0.0995306 | + | 0.240288i | ||||
\(622\) | 899.189 | − | 178.860i | 1.44564 | − | 0.287556i | ||||
\(623\) | −76.0930 | − | 50.8437i | −0.122140 | − | 0.0816111i | ||||
\(624\) | −866.422 | − | 172.342i | −1.38850 | − | 0.276189i | ||||
\(625\) | −138.086 | − | 138.086i | −0.220938 | − | 0.220938i | ||||
\(626\) | −745.995 | + | 498.458i | −1.19169 | + | 0.796259i | ||||
\(627\) | −106.783 | + | 44.2311i | −0.170309 | + | 0.0705441i | ||||
\(628\) | − | 645.382i | − | 1.02768i | ||||||
\(629\) | −575.854 | − | 311.715i | −0.915507 | − | 0.495573i | ||||
\(630\) | −616.892 | −0.979194 | ||||||||
\(631\) | −414.694 | − | 1001.16i | −0.657201 | − | 1.58662i | −0.802108 | − | 0.597179i | \(-0.796288\pi\) |
0.144906 | − | 0.989445i | \(-0.453712\pi\) | |||||||
\(632\) | −20.5803 | − | 30.8007i | −0.0325638 | − | 0.0487352i | ||||
\(633\) | 1178.49 | − | 1178.49i | 1.86175 | − | 1.86175i | ||||
\(634\) | 178.370 | − | 896.725i | 0.281340 | − | 1.41439i | ||||
\(635\) | −224.213 | + | 335.558i | −0.353091 | + | 0.528438i | ||||
\(636\) | 237.559 | + | 1194.29i | 0.373520 | + | 1.87781i | ||||
\(637\) | −384.902 | − | 159.432i | −0.604242 | − | 0.250285i | ||||
\(638\) | 63.6838 | − | 153.746i | 0.0998178 | − | 0.240982i | ||||
\(639\) | 910.683 | − | 181.146i | 1.42517 | − | 0.283484i | ||||
\(640\) | 30.3029 | + | 20.2477i | 0.0473482 | + | 0.0316371i | ||||
\(641\) | −545.664 | − | 108.539i | −0.851269 | − | 0.169328i | −0.249873 | − | 0.968279i | \(-0.580389\pi\) |
−0.601397 | + | 0.798951i | \(0.705389\pi\) | |||||||
\(642\) | 388.171 | + | 388.171i | 0.604627 | + | 0.604627i | ||||
\(643\) | −90.3509 | + | 60.3706i | −0.140515 | + | 0.0938889i | −0.623841 | − | 0.781552i | \(-0.714429\pi\) |
0.483326 | + | 0.875440i | \(0.339429\pi\) | |||||||
\(644\) | −43.3054 | + | 17.9377i | −0.0672445 | + | 0.0278536i | ||||
\(645\) | − | 1026.22i | − | 1.59103i | ||||||
\(646\) | 130.882 | − | 423.409i | 0.202603 | − | 0.655432i | ||||
\(647\) | 1175.55 | 1.81693 | 0.908463 | − | 0.417966i | \(-0.137257\pi\) | ||||
0.908463 | + | 0.417966i | \(0.137257\pi\) | |||||||
\(648\) | 9.67787 | + | 23.3644i | 0.0149350 | + | 0.0360562i | ||||
\(649\) | −31.1226 | − | 46.5783i | −0.0479547 | − | 0.0717693i | ||||
\(650\) | 257.760 | − | 257.760i | 0.396555 | − | 0.396555i | ||||
\(651\) | 92.6884 | − | 465.976i | 0.142379 | − | 0.715785i | ||||
\(652\) | −380.985 | + | 570.185i | −0.584333 | + | 0.874516i | ||||
\(653\) | −132.779 | − | 667.525i | −0.203337 | − | 1.02224i | −0.938743 | − | 0.344617i | \(-0.888009\pi\) |
0.735407 | − | 0.677626i | \(-0.236991\pi\) | |||||||
\(654\) | −622.997 | − | 258.054i | −0.952596 | − | 0.394578i | ||||
\(655\) | 62.6181 | − | 151.173i | 0.0956001 | − | 0.230799i | ||||
\(656\) | −1173.78 | + | 233.480i | −1.78930 | + | 0.355914i | ||||
\(657\) | 930.246 | + | 621.571i | 1.41590 | + | 0.946074i | ||||
\(658\) | −67.0003 | − | 13.3272i | −0.101824 | − | 0.0202541i | ||||
\(659\) | −542.829 | − | 542.829i | −0.823716 | − | 0.823716i | 0.162923 | − | 0.986639i | \(-0.447908\pi\) |
−0.986639 | + | 0.162923i | \(0.947908\pi\) | |||||||
\(660\) | −157.304 | + | 105.107i | −0.238339 | + | 0.159253i | ||||
\(661\) | 84.7509 | − | 35.1050i | 0.128216 | − | 0.0531089i | −0.317653 | − | 0.948207i | \(-0.602895\pi\) |
0.445869 | + | 0.895098i | \(0.352895\pi\) | |||||||
\(662\) | 76.1234i | 0.114990i | ||||||||
\(663\) | 275.489 | + | 925.708i | 0.415518 | + | 1.39624i | ||||
\(664\) | 29.4052 | 0.0442849 | ||||||||
\(665\) | −42.1659 | − | 101.797i | −0.0634073 | − | 0.153079i | ||||
\(666\) | 1096.77 | + | 1641.44i | 1.64681 | + | 2.46462i | ||||
\(667\) | 58.7489 | − | 58.7489i | 0.0880793 | − | 0.0880793i | ||||
\(668\) | 43.1758 | − | 217.059i | 0.0646344 | − | 0.324939i | ||||
\(669\) | −313.694 | + | 469.476i | −0.468899 | + | 0.701757i | ||||
\(670\) | −35.1721 | − | 176.822i | −0.0524956 | − | 0.263913i | ||||
\(671\) | 93.1365 | + | 38.5784i | 0.138803 | + | 0.0574939i | ||||
\(672\) | 298.867 | − | 721.529i | 0.444743 | − | 1.07370i | ||||
\(673\) | −166.460 | + | 33.1109i | −0.247340 | + | 0.0491990i | −0.317203 | − | 0.948358i | \(-0.602744\pi\) |
0.0698631 | + | 0.997557i | \(0.477744\pi\) | |||||||
\(674\) | 1158.72 | + | 774.232i | 1.71917 | + | 1.14871i | ||||
\(675\) | 536.768 | + | 106.770i | 0.795213 | + | 0.158178i | ||||
\(676\) | 143.676 | + | 143.676i | 0.212538 | + | 0.212538i | ||||
\(677\) | −378.084 | + | 252.628i | −0.558470 | + | 0.373158i | −0.802539 | − | 0.596600i | \(-0.796518\pi\) |
0.244068 | + | 0.969758i | \(0.421518\pi\) | |||||||
\(678\) | −1194.69 | + | 494.857i | −1.76208 | + | 0.729877i | ||||
\(679\) | − | 50.2930i | − | 0.0740692i | ||||||
\(680\) | 2.00007 | − | 19.2651i | 0.00294128 | − | 0.0283311i | ||||
\(681\) | 1025.33 | 1.50563 | ||||||||
\(682\) | −73.3490 | − | 177.080i | −0.107550 | − | 0.259648i | ||||
\(683\) | −746.009 | − | 1116.48i | −1.09225 | − | 1.63467i | −0.698779 | − | 0.715337i | \(-0.746273\pi\) |
−0.393474 | − | 0.919336i | \(-0.628727\pi\) | |||||||
\(684\) | −478.775 | + | 478.775i | −0.699964 | + | 0.699964i | ||||
\(685\) | −43.7454 | + | 219.923i | −0.0638619 | + | 0.321055i | ||||
\(686\) | 454.935 | − | 680.859i | 0.663171 | − | 0.992506i | ||||
\(687\) | 183.584 | + | 922.940i | 0.267226 | + | 1.34343i | ||||
\(688\) | 778.182 | + | 322.334i | 1.13108 | + | 0.468508i | ||||
\(689\) | 238.612 | − | 576.061i | 0.346317 | − | 0.836082i | ||||
\(690\) | −182.804 | + | 36.3620i | −0.264933 | + | 0.0526985i | ||||
\(691\) | −163.058 | − | 108.952i | −0.235975 | − | 0.157673i | 0.431961 | − | 0.901892i | \(-0.357822\pi\) |
−0.667936 | + | 0.744219i | \(0.732822\pi\) | |||||||
\(692\) | −271.091 | − | 53.9233i | −0.391750 | − | 0.0779239i | ||||
\(693\) | 102.089 | + | 102.089i | 0.147315 | + | 0.147315i | ||||
\(694\) | 572.662 | − | 382.641i | 0.825161 | − | 0.551355i | ||||
\(695\) | −294.261 | + | 121.887i | −0.423397 | + | 0.175377i | ||||
\(696\) | − | 39.0462i | − | 0.0561008i | ||||||
\(697\) | 824.730 | + | 1015.81i | 1.18326 | + | 1.45741i | ||||
\(698\) | −113.096 | −0.162028 | ||||||||
\(699\) | −11.6469 | − | 28.1181i | −0.0166622 | − | 0.0402262i | ||||
\(700\) | 88.2410 | + | 132.062i | 0.126059 | + | 0.188660i | ||||
\(701\) | −164.717 | + | 164.717i | −0.234975 | + | 0.234975i | −0.814766 | − | 0.579791i | \(-0.803134\pi\) |
0.579791 | + | 0.814766i | \(0.303134\pi\) | |||||||
\(702\) | 283.993 | − | 1427.73i | 0.404548 | − | 2.03380i | ||||
\(703\) | −195.897 | + | 293.181i | −0.278659 | + | 0.417043i | ||||
\(704\) | −31.9814 | − | 160.782i | −0.0454282 | − | 0.228383i | ||||
\(705\) | −127.177 | − | 52.6786i | −0.180393 | − | 0.0747214i | ||||
\(706\) | 696.551 | − | 1681.62i | 0.986616 | − | 2.38190i | ||||
\(707\) | −428.013 | + | 85.1370i | −0.605393 | + | 0.120420i | ||||
\(708\) | −409.312 | − | 273.493i | −0.578124 | − | 0.386290i | ||||
\(709\) | 737.675 | + | 146.733i | 1.04044 | + | 0.206957i | 0.685608 | − | 0.727971i | \(-0.259537\pi\) |
0.354836 | + | 0.934928i | \(0.384537\pi\) | |||||||
\(710\) | 378.781 | + | 378.781i | 0.533494 | + | 0.533494i | ||||
\(711\) | −1773.92 | + | 1185.29i | −2.49496 | + | 1.66708i | ||||
\(712\) | −8.00327 | + | 3.31506i | −0.0112406 | + | 0.00465599i | ||||
\(713\) | − | 95.6929i | − | 0.134212i | ||||||
\(714\) | −826.833 | + | 77.0360i | −1.15803 | + | 0.107894i | ||||
\(715\) | 96.8747 | 0.135489 | ||||||||
\(716\) | 394.613 | + | 952.681i | 0.551136 | + | 1.33056i | ||||
\(717\) | −199.012 | − | 297.843i | −0.277562 | − | 0.415402i | ||||
\(718\) | −410.618 | + | 410.618i | −0.571891 | + | 0.571891i | ||||
\(719\) | −104.310 | + | 524.403i | −0.145077 | + | 0.729351i | 0.837929 | + | 0.545779i | \(0.183766\pi\) |
−0.983006 | + | 0.183572i | \(0.941234\pi\) | |||||||
\(720\) | 566.848 | − | 848.349i | 0.787290 | − | 1.17826i | ||||
\(721\) | 119.236 | + | 599.437i | 0.165375 | + | 0.831397i | ||||
\(722\) | 729.307 | + | 302.089i | 1.01012 | + | 0.418406i | ||||
\(723\) | −616.159 | + | 1487.54i | −0.852225 | + | 2.05745i | ||||
\(724\) | 69.0425 | − | 13.7334i | 0.0953625 | − | 0.0189688i | ||||
\(725\) | −234.081 | − | 156.408i | −0.322870 | − | 0.215735i | ||||
\(726\) | −1670.30 | − | 332.244i | −2.30069 | − | 0.457636i | ||||
\(727\) | −883.793 | − | 883.793i | −1.21567 | − | 1.21567i | −0.969133 | − | 0.246538i | \(-0.920707\pi\) |
−0.246538 | − | 0.969133i | \(-0.579293\pi\) | |||||||
\(728\) | 9.37896 | − | 6.26682i | 0.0128832 | − | 0.00860827i | ||||
\(729\) | −674.098 | + | 279.220i | −0.924688 | + | 0.383018i | ||||
\(730\) | 645.448i | 0.884175i | ||||||||
\(731\) | −85.4300 | − | 916.927i | −0.116867 | − | 1.25435i | ||||
\(732\) | 885.881 | 1.21022 | ||||||||
\(733\) | 249.714 | + | 602.864i | 0.340674 | + | 0.822460i | 0.997648 | + | 0.0685469i | \(0.0218363\pi\) |
−0.656974 | + | 0.753914i | \(0.728164\pi\) | |||||||
\(734\) | −446.122 | − | 667.669i | −0.607796 | − | 0.909631i | ||||
\(735\) | 510.393 | − | 510.393i | 0.694412 | − | 0.694412i | ||||
\(736\) | 30.6877 | − | 154.277i | 0.0416952 | − | 0.209616i | ||||
\(737\) | −23.4415 | + | 35.0827i | −0.0318067 | + | 0.0476021i | ||||
\(738\) | −769.587 | − | 3868.98i | −1.04280 | − | 5.24252i | ||||
\(739\) | 710.562 | + | 294.324i | 0.961518 | + | 0.398274i | 0.807548 | − | 0.589802i | \(-0.200794\pi\) |
0.153970 | + | 0.988075i | \(0.450794\pi\) | |||||||
\(740\) | −220.869 | + | 533.224i | −0.298471 | + | 0.720573i | ||||
\(741\) | 510.094 | − | 101.464i | 0.688386 | − | 0.136929i | ||||
\(742\) | 445.751 | + | 297.841i | 0.600743 | + | 0.401403i | ||||
\(743\) | 66.1835 | + | 13.1647i | 0.0890760 | + | 0.0177183i | 0.239427 | − | 0.970914i | \(-0.423040\pi\) |
−0.150351 | + | 0.988633i | \(0.548040\pi\) | |||||||
\(744\) | −31.8001 | − | 31.8001i | −0.0427421 | − | 0.0427421i | ||||
\(745\) | −568.657 | + | 379.965i | −0.763298 | + | 0.510020i | ||||
\(746\) | 897.102 | − | 371.592i | 1.20255 | − | 0.498113i | ||||
\(747\) | − | 1693.55i | − | 2.26713i | ||||||
\(748\) | −131.802 | + | 107.009i | −0.176205 | + | 0.143060i | ||||
\(749\) | 122.477 | 0.163521 | ||||||||
\(750\) | 757.818 | + | 1829.54i | 1.01042 | + | 2.43938i | ||||
\(751\) | 155.202 | + | 232.276i | 0.206660 | + | 0.309289i | 0.920292 | − | 0.391232i | \(-0.127951\pi\) |
−0.713632 | + | 0.700521i | \(0.752951\pi\) | |||||||
\(752\) | 79.8926 | − | 79.8926i | 0.106240 | − | 0.106240i | ||||
\(753\) | 214.877 | − | 1080.26i | 0.285361 | − | 1.43461i | ||||
\(754\) | −416.022 | + | 622.621i | −0.551753 | + | 0.825757i | ||||
\(755\) | −153.755 | − | 772.980i | −0.203649 | − | 1.02381i | ||||
\(756\) | 585.985 | + | 242.723i | 0.775113 | + | 0.321062i | ||||
\(757\) | −222.495 | + | 537.150i | −0.293917 | + | 0.709577i | 0.706082 | + | 0.708130i | \(0.250461\pi\) |
−0.999999 | + | 0.00144764i | \(0.999539\pi\) | |||||||
\(758\) | −1000.29 | + | 198.969i | −1.31964 | + | 0.262492i | ||||
\(759\) | 36.2696 | + | 24.2346i | 0.0477860 | + | 0.0319296i | ||||
\(760\) | −10.2294 | − | 2.03475i | −0.0134597 | − | 0.00267730i | ||||
\(761\) | −64.7670 | − | 64.7670i | −0.0851078 | − | 0.0851078i | 0.663271 | − | 0.748379i | \(-0.269168\pi\) |
−0.748379 | + | 0.663271i | \(0.769168\pi\) | |||||||
\(762\) | 1361.81 | − | 909.932i | 1.78715 | − | 1.19414i | ||||
\(763\) | −138.996 | + | 57.5742i | −0.182171 | + | 0.0754577i | ||||
\(764\) | 463.595i | 0.606799i | ||||||||
\(765\) | −1109.55 | − | 115.191i | −1.45039 | − | 0.150577i | ||||
\(766\) | 688.823 | 0.899247 | ||||||||
\(767\) | 96.4639 | + | 232.884i | 0.125768 | + | 0.303630i | ||||
\(768\) | 696.794 | + | 1042.83i | 0.907284 | + | 1.35785i | ||||
\(769\) | −8.68658 | + | 8.68658i | −0.0112959 | + | 0.0112959i | −0.712732 | − | 0.701436i | \(-0.752543\pi\) |
0.701436 | + | 0.712732i | \(0.252543\pi\) | |||||||
\(770\) | −16.2495 | + | 81.6917i | −0.0211032 | + | 0.106093i | ||||
\(771\) | 697.518 | − | 1043.91i | 0.904693 | − | 1.35397i | ||||
\(772\) | −16.4235 | − | 82.5666i | −0.0212740 | − | 0.106952i | ||||
\(773\) | −256.725 | − | 106.339i | −0.332115 | − | 0.137567i | 0.210393 | − | 0.977617i | \(-0.432526\pi\) |
−0.542509 | + | 0.840050i | \(0.682526\pi\) | |||||||
\(774\) | −1062.46 | + | 2565.02i | −1.37269 | + | 3.31397i | ||||
\(775\) | −318.023 | + | 63.2586i | −0.410352 | + | 0.0816240i | ||||
\(776\) | −3.95829 | − | 2.64484i | −0.00510089 | − | 0.00340830i | ||||
\(777\) | 648.010 | + | 128.897i | 0.833990 | + | 0.165891i | ||||
\(778\) | −1349.54 | − | 1349.54i | −1.73463 | − | 1.73463i | ||||
\(779\) | 585.842 | − | 391.447i | 0.752044 | − | 0.502500i | ||||
\(780\) | 786.496 | − | 325.777i | 1.00833 | − | 0.417663i | ||||
\(781\) | − | 125.368i | − | 0.160523i | ||||||
\(782\) | −160.309 | + | 47.7075i | −0.204998 | + | 0.0610070i | ||||
\(783\) | −1124.24 | −1.43581 | ||||||||
\(784\) | 226.718 | + | 547.346i | 0.289181 | + | 0.698145i | ||||
\(785\) | −318.096 | − | 476.064i | −0.405217 | − | 0.606451i | ||||
\(786\) | −469.563 | + | 469.563i | −0.597408 | + | 0.597408i | ||||
\(787\) | −25.8529 | + | 129.971i | −0.0328499 | + | 0.165148i | −0.993728 | − | 0.111824i | \(-0.964331\pi\) |
0.960878 | + | 0.276971i | \(0.0893308\pi\) | |||||||
\(788\) | 94.1343 | − | 140.882i | 0.119460 | − | 0.178784i | ||||
\(789\) | 242.529 | + | 1219.28i | 0.307388 | + | 1.54534i | ||||
\(790\) | −1137.14 | − | 471.017i | −1.43941 | − | 0.596224i | ||||
\(791\) | −110.407 | + | 266.546i | −0.139579 | + | 0.336974i | ||||
\(792\) | 13.4036 | − | 2.66614i | 0.0169238 | − | 0.00336634i | ||||
\(793\) | −377.172 | − | 252.018i | −0.475626 | − | 0.317803i | ||||
\(794\) | 1251.14 | + | 248.868i | 1.57575 | + | 0.313435i | ||||
\(795\) | 763.875 | + | 763.875i | 0.960850 | + | 0.960850i | ||||
\(796\) | −1250.87 | + | 835.808i | −1.57145 | + | 1.05001i | ||||
\(797\) | 1137.33 | − | 471.097i | 1.42701 | − | 0.591087i | 0.470400 | − | 0.882453i | \(-0.344110\pi\) |
0.956612 | + | 0.291366i | \(0.0941097\pi\) | |||||||
\(798\) | 447.167i | 0.560360i | ||||||||
\(799\) | −118.019 | − | 36.4812i | −0.147708 | − | 0.0456586i | ||||
\(800\) | −533.007 | −0.666259 | ||||||||
\(801\) | 190.926 | + | 460.937i | 0.238360 | + | 0.575452i | ||||
\(802\) | 219.924 | + | 329.139i | 0.274219 | + | 0.410398i | ||||
\(803\) | 106.815 | − | 106.815i | 0.133020 | − | 0.133020i | ||||
\(804\) | −72.3358 | + | 363.657i | −0.0899699 | + | 0.452309i | ||||
\(805\) | −23.1030 | + | 34.5761i | −0.0286994 | + | 0.0429516i | ||||
\(806\) | 168.259 | + | 845.895i | 0.208758 | + | 1.04950i | ||||
\(807\) | −54.3821 | − | 22.5258i | −0.0673880 | − | 0.0279130i | ||||
\(808\) | −15.8080 | + | 38.1638i | −0.0195643 | + | 0.0472325i | ||||
\(809\) | −1547.48 | + | 307.812i | −1.91282 | + | 0.380485i | −0.999634 | − | 0.0270477i | \(-0.991389\pi\) |
−0.913191 | + | 0.407532i | \(0.866389\pi\) | |||||||
\(810\) | 698.666 | + | 466.834i | 0.862551 | + | 0.576338i | ||||
\(811\) | 590.002 | + | 117.359i | 0.727499 | + | 0.144709i | 0.544926 | − | 0.838484i | \(-0.316558\pi\) |
0.182573 | + | 0.983192i | \(0.441558\pi\) | |||||||
\(812\) | −230.708 | − | 230.708i | −0.284123 | − | 0.284123i | ||||
\(813\) | 1522.03 | − | 1016.99i | 1.87212 | − | 1.25091i | ||||
\(814\) | 246.256 | − | 102.003i | 0.302526 | − | 0.125310i | ||||
\(815\) | 608.375i | 0.746472i | ||||||||
\(816\) | 653.818 | − | 1207.84i | 0.801248 | − | 1.48020i | ||||
\(817\) | −495.892 | −0.606966 | ||||||||
\(818\) | −440.884 | − | 1064.39i | −0.538978 | − | 1.30121i | ||||
\(819\) | −360.928 | − | 540.168i | −0.440694 | − | 0.659545i | ||||
\(820\) | 815.500 | − | 815.500i | 0.994512 | − | 0.994512i | ||||
\(821\) | 153.360 | − | 770.993i | 0.186797 | − | 0.939090i | −0.767687 | − | 0.640826i | \(-0.778592\pi\) |
0.954483 | − | 0.298265i | \(-0.0964078\pi\) | |||||||
\(822\) | 505.573 | − | 756.644i | 0.615053 | − | 0.920491i | ||||
\(823\) | −54.7382 | − | 275.188i | −0.0665106 | − | 0.334371i | 0.933176 | − | 0.359421i | \(-0.117026\pi\) |
−0.999686 | + | 0.0250494i | \(0.992026\pi\) | |||||||
\(824\) | 53.4489 | + | 22.1393i | 0.0648652 | + | 0.0268681i | ||||
\(825\) | 56.5640 | − | 136.558i | 0.0685625 | − | 0.165524i | ||||
\(826\) | −212.565 | + | 42.2819i | −0.257343 | + | 0.0511887i | ||||
\(827\) | 1229.32 | + | 821.409i | 1.48649 | + | 0.993239i | 0.992297 | + | 0.123886i | \(0.0395356\pi\) |
0.494191 | + | 0.869354i | \(0.335464\pi\) | |||||||
\(828\) | 250.627 | + | 49.8529i | 0.302690 | + | 0.0602088i | ||||
\(829\) | −331.030 | − | 331.030i | −0.399312 | − | 0.399312i | 0.478678 | − | 0.877990i | \(-0.341116\pi\) |
−0.877990 | + | 0.478678i | \(0.841116\pi\) | |||||||
\(830\) | 812.370 | − | 542.808i | 0.978759 | − | 0.653986i | ||||
\(831\) | 447.681 | − | 185.435i | 0.538725 | − | 0.223147i | ||||
\(832\) | 737.650i | 0.886598i | ||||||||
\(833\) | 413.548 | − | 498.526i | 0.496456 | − | 0.598471i | ||||
\(834\) | 1292.61 | 1.54989 | ||||||||
\(835\) | −75.1357 | − | 181.394i | −0.0899828 | − | 0.217238i | ||||
\(836\) | 50.7902 | + | 76.0130i | 0.0607539 | + | 0.0909246i | ||||
\(837\) | −915.607 | + | 915.607i | −1.09392 | + | 1.09392i | ||||
\(838\) | 145.162 | − | 729.778i | 0.173224 | − | 0.870856i | ||||
\(839\) | −117.506 | + | 175.861i | −0.140055 | + | 0.209608i | −0.894866 | − | 0.446335i | \(-0.852729\pi\) |
0.754810 | + | 0.655943i | \(0.227729\pi\) | |||||||
\(840\) | 3.81267 | + | 19.1676i | 0.00453889 | + | 0.0228185i | ||||
\(841\) | −242.689 | − | 100.525i | −0.288572 | − | 0.119530i | ||||
\(842\) | −662.644 | + | 1599.76i | −0.786988 | + | 1.89996i | ||||
\(843\) | −1134.46 | + | 225.659i | −1.34574 | + | 0.267685i | ||||
\(844\) | −1096.07 | − | 732.372i | −1.29866 | − | 0.867739i | ||||
\(845\) | 176.797 | + | 35.1671i | 0.209227 | + | 0.0416179i | ||||
\(846\) | 263.339 | + | 263.339i | 0.311276 | + | 0.311276i | ||||
\(847\) | −315.926 | + | 211.095i | −0.372994 | + | 0.249226i | ||||
\(848\) | −819.181 | + | 339.316i | −0.966016 | + | 0.400137i | ||||
\(849\) | − | 650.006i | − | 0.765613i | ||||||
\(850\) | 264.523 | + | 501.227i | 0.311204 | + | 0.589679i | ||||
\(851\) | 133.075 | 0.156375 | ||||||||
\(852\) | −421.598 | − | 1017.83i | −0.494833 | − | 1.19463i | ||||
\(853\) | 556.064 | + | 832.209i | 0.651892 | + | 0.975626i | 0.999281 | + | 0.0379048i | \(0.0120684\pi\) |
−0.347389 | + | 0.937721i | \(0.612932\pi\) | |||||||
\(854\) | 275.785 | − | 275.785i | 0.322933 | − | 0.322933i | ||||
\(855\) | −117.188 | + | 589.146i | −0.137062 | + | 0.689060i | ||||
\(856\) | 6.44092 | − | 9.63952i | 0.00752444 | − | 0.0112611i | ||||
\(857\) | 145.210 | + | 730.021i | 0.169440 | + | 0.851833i | 0.968199 | + | 0.250181i | \(0.0804903\pi\) |
−0.798759 | + | 0.601651i | \(0.794510\pi\) | |||||||
\(858\) | −363.224 | − | 150.452i | −0.423338 | − | 0.175352i | ||||
\(859\) | 374.100 | − | 903.157i | 0.435506 | − | 1.05141i | −0.541977 | − | 0.840393i | \(-0.682324\pi\) |
0.977483 | − | 0.211012i | \(-0.0676759\pi\) | |||||||
\(860\) | −796.096 | + | 158.353i | −0.925693 | + | 0.184132i | ||||
\(861\) | −1097.74 | − | 733.485i | −1.27496 | − | 0.851899i | ||||
\(862\) | −1788.49 | − | 355.752i | −2.07481 | − | 0.412706i | ||||
\(863\) | 799.269 | + | 799.269i | 0.926152 | + | 0.926152i | 0.997455 | − | 0.0713024i | \(-0.0227155\pi\) |
−0.0713024 | + | 0.997455i | \(0.522716\pi\) | |||||||
\(864\) | −1769.78 | + | 1182.53i | −2.04836 | + | 1.36867i | ||||
\(865\) | −226.547 | + | 93.8388i | −0.261904 | + | 0.108484i | ||||
\(866\) | − | 1820.44i | − | 2.10213i | ||||||
\(867\) | −1501.53 | − | 15.8356i | −1.73187 | − | 0.0182649i | ||||
\(868\) | −375.788 | −0.432935 | ||||||||
\(869\) | 110.236 | + | 266.132i | 0.126853 | + | 0.306251i | ||||
\(870\) | −720.777 | − | 1078.72i | −0.828479 | − | 1.23991i | ||||
\(871\) | 134.252 | − | 134.252i | 0.154135 | − | 0.154135i | ||||
\(872\) | −2.77829 | + | 13.9674i | −0.00318612 | + | 0.0160177i | ||||
\(873\) | −152.326 | + | 227.972i | −0.174486 | + | 0.261136i | ||||
\(874\) | 17.5710 | + | 88.3352i | 0.0201041 | + | 0.101070i | ||||
\(875\) | 408.186 | + | 169.076i | 0.466499 | + | 0.193230i | ||||
\(876\) | 507.991 | − | 1226.40i | 0.579899 | − | 1.40000i | ||||
\(877\) | 1320.03 | − | 262.571i | 1.50517 | − | 0.299397i | 0.627483 | − | 0.778630i | \(-0.284085\pi\) |
0.877688 | + | 0.479233i | \(0.159085\pi\) | |||||||
\(878\) | 1669.66 | + | 1115.63i | 1.90166 | + | 1.27065i | ||||
\(879\) | 610.499 | + | 121.436i | 0.694538 | + | 0.138152i | ||||
\(880\) | −97.4109 | − | 97.4109i | −0.110694 | − | 0.110694i | ||||
\(881\) | −880.918 | + | 588.611i | −0.999907 | + | 0.668116i | −0.943872 | − | 0.330312i | \(-0.892846\pi\) |
−0.0560352 | + | 0.998429i | \(0.517846\pi\) | |||||||
\(882\) | −1804.14 | + | 747.300i | −2.04551 | + | 0.847279i | ||||
\(883\) | 658.553i | 0.745813i | 0.927869 | + | 0.372907i | \(0.121639\pi\) | ||||
−0.927869 | + | 0.372907i | \(0.878361\pi\) | |||||||
\(884\) | 675.616 | − | 356.557i | 0.764272 | − | 0.403345i | ||||
\(885\) | −436.727 | −0.493477 | ||||||||
\(886\) | −345.665 | − | 834.510i | −0.390142 | − | 0.941885i | ||||
\(887\) | −370.614 | − | 554.662i | −0.417828 | − | 0.625324i | 0.561530 | − | 0.827456i | \(-0.310213\pi\) |
−0.979358 | + | 0.202132i | \(0.935213\pi\) | |||||||
\(888\) | 44.2228 | − | 44.2228i | 0.0498005 | − | 0.0498005i | ||||
\(889\) | 71.2891 | − | 358.395i | 0.0801902 | − | 0.403143i | ||||
\(890\) | −159.910 | + | 239.322i | −0.179674 | + | 0.268901i | ||||
\(891\) | −38.3658 | − | 192.878i | −0.0430592 | − | 0.216473i | ||||
\(892\) | 412.605 | + | 170.907i | 0.462562 | + | 0.191599i | ||||
\(893\) | −25.4555 | + | 61.4550i | −0.0285056 | + | 0.0688186i | ||||
\(894\) | 2722.24 | − | 541.487i | 3.04501 | − | 0.605691i | ||||
\(895\) | 760.643 | + | 508.245i | 0.849880 | + | 0.567872i | ||||
\(896\) | −32.3651 | − | 6.43782i | −0.0361218 | − | 0.00718507i | ||||
\(897\) | −138.794 | − | 138.794i | −0.154731 | − | 0.154731i | ||||
\(898\) | 582.338 | − | 389.106i | 0.648484 | − | 0.433303i | ||||
\(899\) | 615.383 | − | 254.900i | 0.684519 | − | 0.283537i | ||||
\(900\) | − | 865.883i | − | 0.962092i | ||||||
\(901\) | 746.115 | + | 618.934i | 0.828097 | + | 0.686941i | ||||
\(902\) | −532.619 | −0.590487 | ||||||||
\(903\) | 355.586 | + | 858.460i | 0.393783 | + | 0.950676i | ||||
\(904\) | 15.1723 | + | 22.7069i | 0.0167835 | + | 0.0251182i | ||||
\(905\) | 44.1600 | − | 44.1600i | 0.0487956 | − | 0.0487956i | ||||
\(906\) | −623.991 | + | 3137.01i | −0.688732 | + | 3.46249i | ||||
\(907\) | −100.245 | + | 150.028i | −0.110524 | + | 0.165411i | −0.882608 | − | 0.470109i | \(-0.844214\pi\) |
0.772084 | + | 0.635521i | \(0.219214\pi\) | |||||||
\(908\) | −158.217 | − | 795.410i | −0.174248 | − | 0.876002i | ||||
\(909\) | 2197.99 | + | 910.437i | 2.41803 | + | 1.00158i | ||||
\(910\) | 143.427 | − | 346.264i | 0.157612 | − | 0.380510i | ||||
\(911\) | 1620.68 | − | 322.374i | 1.77901 | − | 0.353868i | 0.807320 | − | 0.590114i | \(-0.200917\pi\) |
0.971693 | + | 0.236246i | \(0.0759171\pi\) | |||||||
\(912\) | −614.943 | − | 410.892i | −0.674279 | − | 0.450539i | ||||
\(913\) | −224.267 | − | 44.6096i | −0.245638 | − | 0.0488604i | ||||
\(914\) | 749.335 | + | 749.335i | 0.819842 | + | 0.819842i | ||||
\(915\) | 653.467 | − | 436.633i | 0.714172 | − | 0.477194i | ||||
\(916\) | 687.650 | − | 284.834i | 0.750709 | − | 0.310954i | ||||
\(917\) | 148.158i | 0.161569i | ||||||||
\(918\) | 1990.34 | + | 1077.39i | 2.16812 | + | 1.17363i | ||||
\(919\) | −630.155 | −0.685697 | −0.342848 | − | 0.939391i | \(-0.611392\pi\) | ||||
−0.342848 | + | 0.939391i | \(0.611392\pi\) | |||||||
\(920\) | 1.50634 | + | 3.63662i | 0.00163732 | + | 0.00395285i | ||||
\(921\) | −684.906 | − | 1025.03i | −0.743655 | − | 1.11296i | ||||
\(922\) | −1734.82 | + | 1734.82i | −1.88158 | + | 1.88158i | ||||
\(923\) | −110.055 | + | 553.286i | −0.119237 | + | 0.599443i | ||||
\(924\) | 95.1696 | − | 142.431i | 0.102997 | − | 0.154146i | ||||
\(925\) | −87.9706 | − | 442.258i | −0.0951034 | − | 0.478117i | ||||
\(926\) | −1436.86 | − | 595.167i | −1.55169 | − | 0.642729i | ||||
\(927\) | 1275.08 | − | 3078.31i | 1.37549 | − | 3.32073i | ||||
\(928\) | 1073.87 | − | 213.607i | 1.15719 | − | 0.230179i | ||||
\(929\) | −1303.36 | − | 870.877i | −1.40297 | − | 0.937435i | −0.999751 | − | 0.0223314i | \(-0.992891\pi\) |
−0.403220 | − | 0.915103i | \(-0.632109\pi\) | |||||||
\(930\) | −1465.55 | − | 291.516i | −1.57586 | − | 0.313458i | ||||
\(931\) | −246.634 | − | 246.634i | −0.264913 | − | 0.264913i | ||||
\(932\) | −20.0156 | + | 13.3740i | −0.0214760 | + | 0.0143498i | ||||
\(933\) | −1545.43 | + | 640.139i | −1.65641 | + | 0.686109i | ||||
\(934\) | 1153.41i | 1.23492i | ||||||||
\(935\) | −44.4806 | + | 143.897i | −0.0475728 | + | 0.153900i | ||||
\(936\) | −61.4945 | −0.0656992 | ||||||||
\(937\) | −291.961 | − | 704.857i | −0.311591 | − | 0.752248i | −0.999646 | − | 0.0265897i | \(-0.991535\pi\) |
0.688055 | − | 0.725659i | \(-0.258465\pi\) | |||||||
\(938\) | 90.6916 | + | 135.730i | 0.0966861 | + | 0.144701i | ||||
\(939\) | 1157.53 | − | 1157.53i | 1.23273 | − | 1.23273i | ||||
\(940\) | −21.2414 | + | 106.788i | −0.0225972 | + | 0.113604i | ||||
\(941\) | −656.274 | + | 982.184i | −0.697422 | + | 1.04377i | 0.298575 | + | 0.954386i | \(0.403489\pi\) |
−0.995998 | + | 0.0893803i | \(0.971511\pi\) | |||||||
\(942\) | 453.318 | + | 2278.98i | 0.481229 | + | 2.41930i | ||||
\(943\) | −245.673 | − | 101.761i | −0.260523 | − | 0.107912i | ||||
\(944\) | 137.176 | − | 331.171i | 0.145313 | − | 0.350817i | ||||
\(945\) | 551.884 | − | 109.776i | 0.584004 | − | 0.116166i | ||||
\(946\) | 311.685 | + | 208.261i | 0.329476 | + | 0.220149i | ||||
\(947\) | −1709.91 | − | 340.121i | −1.80560 | − | 0.359157i | −0.826566 | − | 0.562840i | \(-0.809709\pi\) |
−0.979037 | + | 0.203684i | \(0.934709\pi\) | |||||||
\(948\) | 1789.94 | + | 1789.94i | 1.88812 | + | 1.88812i | ||||
\(949\) | −565.172 | + | 377.636i | −0.595544 | + | 0.397930i | ||||
\(950\) | 281.955 | − | 116.789i | 0.296794 | − | 0.122936i | ||||
\(951\) | 1668.18i | 1.75413i | ||||||||
\(952\) | 5.00228 | + | 16.8089i | 0.00525450 | + | 0.0176564i | ||||
\(953\) | −1007.14 | −1.05681 | −0.528405 | − | 0.848992i | \(-0.677210\pi\) | ||||
−0.528405 | + | 0.848992i | \(0.677210\pi\) | |||||||
\(954\) | −1118.44 | − | 2700.16i | −1.17237 | − | 2.83035i | ||||
\(955\) | 228.496 | + | 341.969i | 0.239263 | + | 0.358083i | ||||
\(956\) | −200.345 | + | 200.345i | −0.209566 | + | 0.209566i | ||||
\(957\) | −59.2356 | + | 297.797i | −0.0618971 | + | 0.311178i | ||||
\(958\) | −190.265 | + | 284.752i | −0.198607 | + | 0.297236i | ||||
\(959\) | −39.6094 | − | 199.130i | −0.0413028 | − | 0.207643i | ||||
\(960\) | −1180.73 | − | 489.074i | −1.22993 | − | 0.509452i | ||||
\(961\) | −74.1731 | + | 179.070i | −0.0771833 | + | 0.186337i | ||||
\(962\) | −1176.34 | + | 233.989i | −1.22281 | + | 0.243232i | ||||
\(963\) | −555.174 | − | 370.955i | −0.576505 | − | 0.385208i | ||||
\(964\) | 1249.05 | + | 248.451i | 1.29569 | + | 0.257730i | ||||
\(965\) | −52.8101 | − | 52.8101i | −0.0547255 | − | 0.0547255i | ||||
\(966\) | 140.321 | − | 93.7598i | 0.145260 | − | 0.0970598i | ||||
\(967\) | 499.135 | − | 206.749i | 0.516169 | − | 0.213804i | −0.109364 | − | 0.994002i | \(-0.534882\pi\) |
0.625533 | + | 0.780198i | \(0.284882\pi\) | |||||||
\(968\) | 35.9660i | 0.0371550i | ||||||||
\(969\) | −83.4988 | + | 804.278i | −0.0861700 | + | 0.830008i | ||||
\(970\) | −158.177 | −0.163069 | ||||||||
\(971\) | 153.655 | + | 370.956i | 0.158244 | + | 0.382035i | 0.983039 | − | 0.183397i | \(-0.0587095\pi\) |
−0.824795 | + | 0.565432i | \(0.808709\pi\) | |||||||
\(972\) | 0.560743 | + | 0.839212i | 0.000576896 | + | 0.000863387i | ||||
\(973\) | 203.924 | − | 203.924i | 0.209583 | − | 0.209583i | ||||
\(974\) | 450.287 | − | 2263.74i | 0.462307 | − | 2.32417i | ||||
\(975\) | −369.511 | + | 553.013i | −0.378986 | + | 0.567193i | ||||
\(976\) | 125.846 | + | 632.672i | 0.128941 | + | 0.648229i | ||||
\(977\) | 880.902 | + | 364.881i | 0.901639 | + | 0.373471i | 0.784850 | − | 0.619686i | \(-0.212740\pi\) |
0.116789 | + | 0.993157i | \(0.462740\pi\) | |||||||
\(978\) | 944.842 | − | 2281.05i | 0.966096 | − | 2.33236i | ||||
\(979\) | 66.0685 | − | 13.1418i | 0.0674857 | − | 0.0134237i | ||||
\(980\) | −474.699 | − | 317.184i | −0.484387 | − | 0.323657i | ||||
\(981\) | 804.433 | + | 160.012i | 0.820014 | + | 0.163111i | ||||
\(982\) | −303.323 | − | 303.323i | −0.308883 | − | 0.308883i | ||||
\(983\) | 1186.50 | − | 792.797i | 1.20702 | − | 0.806507i | 0.221354 | − | 0.975194i | \(-0.428952\pi\) |
0.985670 | + | 0.168686i | \(0.0539525\pi\) | |||||||
\(984\) | −115.457 | + | 47.8240i | −0.117335 | + | 0.0486016i | ||||
\(985\) | − | 150.318i | − | 0.152607i | ||||||
\(986\) | −733.817 | − | 903.835i | −0.744236 | − | 0.916669i | ||||
\(987\) | 124.641 | 0.126282 | ||||||||
\(988\) | −157.423 | − | 380.053i | −0.159335 | − | 0.384669i | ||||
\(989\) | 103.976 | + | 155.611i | 0.105133 | + | 0.157342i | ||||
\(990\) | 321.082 | − | 321.082i | 0.324326 | − | 0.324326i | ||||
\(991\) | 54.9030 | − | 276.016i | 0.0554016 | − | 0.278523i | −0.943147 | − | 0.332375i | \(-0.892150\pi\) |
0.998549 | + | 0.0538524i | \(0.0171500\pi\) | |||||||
\(992\) | 700.620 | − | 1048.55i | 0.706271 | − | 1.05701i | ||||
\(993\) | −27.0964 | − | 136.223i | −0.0272874 | − | 0.137183i | ||||
\(994\) | −448.110 | − | 185.613i | −0.450815 | − | 0.186734i | ||||
\(995\) | −510.751 | + | 1233.06i | −0.513317 | + | 1.23926i | ||||
\(996\) | −1970.77 | + | 392.011i | −1.97869 | + | 0.393586i | ||||
\(997\) | −447.153 | − | 298.778i | −0.448499 | − | 0.299677i | 0.310734 | − | 0.950497i | \(-0.399425\pi\) |
−0.759232 | + | 0.650820i | \(0.774425\pi\) | |||||||
\(998\) | 2301.41 | + | 457.780i | 2.30603 | + | 0.458697i | ||||
\(999\) | −1273.29 | − | 1273.29i | −1.27456 | − | 1.27456i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 17.3.e.b.5.1 | ✓ | 8 | |
3.2 | odd | 2 | 153.3.p.a.73.1 | 8 | |||
4.3 | odd | 2 | 272.3.bh.b.209.1 | 8 | |||
5.2 | odd | 4 | 425.3.t.b.124.1 | 8 | |||
5.3 | odd | 4 | 425.3.t.d.124.1 | 8 | |||
5.4 | even | 2 | 425.3.u.a.226.1 | 8 | |||
17.2 | even | 8 | 289.3.e.a.224.1 | 8 | |||
17.3 | odd | 16 | 289.3.e.n.249.1 | 8 | |||
17.4 | even | 4 | 289.3.e.f.131.1 | 8 | |||
17.5 | odd | 16 | 289.3.e.e.40.1 | 8 | |||
17.6 | odd | 16 | 289.3.e.f.214.1 | 8 | |||
17.7 | odd | 16 | inner | 17.3.e.b.7.1 | yes | 8 | |
17.8 | even | 8 | 289.3.e.n.65.1 | 8 | |||
17.9 | even | 8 | 289.3.e.j.65.1 | 8 | |||
17.10 | odd | 16 | 289.3.e.g.75.1 | 8 | |||
17.11 | odd | 16 | 289.3.e.h.214.1 | 8 | |||
17.12 | odd | 16 | 289.3.e.a.40.1 | 8 | |||
17.13 | even | 4 | 289.3.e.h.131.1 | 8 | |||
17.14 | odd | 16 | 289.3.e.j.249.1 | 8 | |||
17.15 | even | 8 | 289.3.e.e.224.1 | 8 | |||
17.16 | even | 2 | 289.3.e.g.158.1 | 8 | |||
51.41 | even | 16 | 153.3.p.a.109.1 | 8 | |||
68.7 | even | 16 | 272.3.bh.b.177.1 | 8 | |||
85.7 | even | 16 | 425.3.t.d.24.1 | 8 | |||
85.24 | odd | 16 | 425.3.u.a.126.1 | 8 | |||
85.58 | even | 16 | 425.3.t.b.24.1 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
17.3.e.b.5.1 | ✓ | 8 | 1.1 | even | 1 | trivial | |
17.3.e.b.7.1 | yes | 8 | 17.7 | odd | 16 | inner | |
153.3.p.a.73.1 | 8 | 3.2 | odd | 2 | |||
153.3.p.a.109.1 | 8 | 51.41 | even | 16 | |||
272.3.bh.b.177.1 | 8 | 68.7 | even | 16 | |||
272.3.bh.b.209.1 | 8 | 4.3 | odd | 2 | |||
289.3.e.a.40.1 | 8 | 17.12 | odd | 16 | |||
289.3.e.a.224.1 | 8 | 17.2 | even | 8 | |||
289.3.e.e.40.1 | 8 | 17.5 | odd | 16 | |||
289.3.e.e.224.1 | 8 | 17.15 | even | 8 | |||
289.3.e.f.131.1 | 8 | 17.4 | even | 4 | |||
289.3.e.f.214.1 | 8 | 17.6 | odd | 16 | |||
289.3.e.g.75.1 | 8 | 17.10 | odd | 16 | |||
289.3.e.g.158.1 | 8 | 17.16 | even | 2 | |||
289.3.e.h.131.1 | 8 | 17.13 | even | 4 | |||
289.3.e.h.214.1 | 8 | 17.11 | odd | 16 | |||
289.3.e.j.65.1 | 8 | 17.9 | even | 8 | |||
289.3.e.j.249.1 | 8 | 17.14 | odd | 16 | |||
289.3.e.n.65.1 | 8 | 17.8 | even | 8 | |||
289.3.e.n.249.1 | 8 | 17.3 | odd | 16 | |||
425.3.t.b.24.1 | 8 | 85.58 | even | 16 | |||
425.3.t.b.124.1 | 8 | 5.2 | odd | 4 | |||
425.3.t.d.24.1 | 8 | 85.7 | even | 16 | |||
425.3.t.d.124.1 | 8 | 5.3 | odd | 4 | |||
425.3.u.a.126.1 | 8 | 85.24 | odd | 16 | |||
425.3.u.a.226.1 | 8 | 5.4 | even | 2 |